twenty-two vs large integer

twenty-two and large integer both are nouns.

Word	Noun	Adjective	Verb	Adverb
twenty-two	Yes	Yes	No	No
large integer	Yes	No	No	No

As nouns, large integer is a hypernym of twenty-two; that is, large integer is a word with a broader meaning than twenty-two:

twenty-two (noun)	large integer (noun)
a .22 caliber firearm (pistol or rifle)	an integer equal to or greater than ten
the cardinal number that is the sum of twenty-one and one

twenty-two (adjective)	large integer (adjective)
being two more than twenty