The CPU outputs addresses on its address bus which may be connected to an address decoder, cache controller, memory management unit, and other devices.
While from a hardware point of view an address is indeed an integer most strongly typed programming languages disallow mixing integers and addresses, and indeed addresses of different data types.
This is a fine example for syntactic salt: the compiler could work without it but makes writing bad programs more difficult.
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ADD 1 TO COBOL GIVING COBOL
addressed call mode