I think he meant 19th century. The Moguls of India were, at least in theory, his descendants and they weren't kicked off the throne in India until the Mutiny of 1857. Though their rule had been pretty theoretical for quite some time by then.
Also pretty much all the Central Asian rulers down to their conquest by the Russians were his descendants.
About 8% of the population of a rather large area of Asia may be descended from him.
http://en.wikipedia.org/wiki/Descent_from_Genghis_Khan#DNA_evidence_-_The_Genghis_Khan_Effect
His last direct descendant died in China in 1984, I believe.