In Richter's dictionary: integer: any natural number (positive or negative) or zero.
Integer: Any positive or negative natural number or zero.
Webster's Dictionary: {Integer} (Mathematics. ), which is not a fraction or a mixed number; Integer
Integer (mathematics): a number that is not a fraction or a fraction; integer
It can be seen that the western natural number "natural number" is a positive integer, excluding 0.
"Integer" is an integer, including positive integer, negative integer and zero (called positive natural number, negative natural number and zero in the west), rather than the "natural number" in teaching in China at present.
Integer translates into "integer" (mathematics) or "integer" (computer). Mathematically, it means integer, which means the same as integer.
I think I should make it clear.