Is 2200 an abundant number and what is its abundance?

Is 2200 an abundant number?

Here we will explain and calculate if 2200 is an abundant number and its abundance if applicable.

2200 is an abundant number if the sum of its proper divisors is greater than 2200.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 88 + 100 + 110 + 200 + 220 + 275 + 440 + 550 + 1100 = 3380.

3380 is greater than 2200. Therefore, 2200 is an abundant number.

The abundance of 2200 is the sum of its proper divisors minus 2200. Thus, the abundance of 2200 is 3380 - 2200 = 1180

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