Hebei vs Hebei province

Hebei and Hebei province both are nouns.

Word	Noun	Adjective	Verb	Adverb
Hebei	Yes	No	No	No
Hebei province	Yes	No	No	No

As nouns, Hebei and Hebei province are synonyms defined as:

Other synonyms of Hebei include Hopeh, Hopei.

Hebei (noun)	Hebei province (noun)
a populous province in northeastern China	a populous province in northeastern China