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Birmingham (/ ˈ b ɜːr m ɪ ŋ ə m / BUR -ming-əm) is a city and metropolitan borough in the metropolitan county of West Midlands in England. It is the second-largest city in Britain – commonly referred to as the second city of the United Kingdom – with a population of 1.145 million in the city proper. Birmingham borders the Black Country to its west and, together with the city of Wolverhampton and towns including Dudley and Solihull, forms the West Midlands conurbation. The royal town of Sutton Coldfield is incorporated within the city limits to the northeast. The wider metropolitan area has a population of 4.3 million, making it the largest outside London.

Located in the West Midlands region of England, Birmingham is considered to be the social, cultural, financial and commercial centre of the Midlands. It is just west of the traditional centre point of England at Meriden, and is the most inland major city in the country, and lying north of the Cotswolds and east of the Shropshire Hills. Distinctively, Birmingham only has small rivers flowing through it, mainly the River Tame and its tributaries River Rea and River Cole – one of the closest main rivers is the Severn, approximately 20 miles (32 km) west of the city centre. The city does however have numerous canals, collectively named the Birmingham Canal Navigations.

Historically a market town in Warwickshire in the medieval period, Birmingham grew during the 18th century during the Midlands Enlightenment and during the Industrial Revolution, which saw advances in science, technology and economic development, producing a series of innovations that laid many of the foundations of modern industrial society. By 1791, it was being hailed as "the first manufacturing town in the world". Birmingham's distinctive economic profile, with thousands of small workshops practising a wide variety of specialised and highly skilled trades, encouraged exceptional levels of creativity and innovation; this provided an economic base for prosperity that was to last into the final quarter of the 20th century. The Watt steam engine was invented in Birmingham.

The resulting high level of social mobility also fostered a culture of political radicalism which, under leaders from Thomas Attwood to Joseph Chamberlain, was to give it a political influence unparalleled in Britain outside London and a pivotal role in the development of British democracy. From the summer of 1940 to the spring of 1943, Birmingham was bombed heavily by the German Luftwaffe in what is known as the Birmingham Blitz. The damage done to the city's infrastructure, in addition to a deliberate policy of demolition and new building by planners, led to extensive urban regeneration in subsequent decades.

Birmingham's economy is now dominated by the service sector. The city is a major international commercial centre and an important transport, retail, events and conference hub. Its metropolitan economy is the second-largest in the United Kingdom with a GDP of $121.1bn (2014). Its five universities, including the University of Birmingham, make it the largest centre of higher education in the country outside London. Birmingham's major cultural institutions – the City of Birmingham Symphony Orchestra, Birmingham Royal Ballet, Birmingham Repertory Theatre, Library of Birmingham and Barber Institute of Fine Arts – enjoy international reputations, and the city has vibrant and influential grassroots art, music, literary and culinary scenes. Birmingham was the host city for the 2022 Commonwealth Games. In 2021, Birmingham was the third most visited city in the UK by people from foreign nations.