Hilton Club The District Washington D.C. is located on the 7th - 9th floors of the Embassy Suites by Hilton Washington D.C. Georgetown. All air-conditioned suites at Hilton Club The District Washington D.C. have a kitchenette and a flat-screen TV with cable channels. Each suite has a private bathroom, a coffee maker and a seating area. Front desk is on the 8th floor. Limited hours. The White House is 1.5 km from Hilton Club The District Washington D.C., while the Phillips Collection is 600 meters away. The nearest airport is Ronald Reagan Washington National Airport, 6 km from The District by Hilton Club.