The numbers 220 and 284 are known as amicable numbers in number theory. Amicable numbers are two different numbers where each number is the sum of the proper divisors of the other. For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, which add up to 284. Conversely, the proper divisors of 284 are 1, 2, 4, 71, 142, which sum to 220. The concept of amicable numbers dates back to ancient times and has been studied by mathematicians such as Pythagoras and Euclid. These numbers are part of a broader category of numbers that includes perfect numbers, which are equal to the sum of their proper divisors. Amicable numbers like 220 and 284 highlight interesting