1184

1184 = 2⁵ x 37.

1184 has a representation as a sum of two squares: 1184 = 20² + 28².

1184 is one of a pair of amicable numbers. This is the first pair greater than 1000: 1184 and 1210.

1184 is 1121212 in base 3, 14214 in base 5, 5252 in base 6, 3311 in base 7, 1555 in base 9, and 828 in base 12. It is 987 in base 11.

NGC 1184 is a galaxy in the constellation Cepheus.

Source: Number Gossip

284

284 = 2² x 71.

284 is a number that cannot be written as a sum of three squares.

284 = 2⁸ + 28.

284 and 220 form a pair of amicable numbers, the smallest amicable pair. Two numbers n and m are called an amicable pair if the sum of all positive divisors of n is equal to the sum of all positive divisors of m and both are equal to n + m.

The Greek mathematician Diophantus died in the year 284.

Source: Number Gossip

220

220 = 2² x 5 x 11.

220 is the 10th tetrahedral number.

220 and 284 form the first and smallest pair of amicable numbers. Each is the sum of the aliqot parts of the other. The aliquot parts of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110 and total 284. 284 = 2² x 71 and its aliquot parts are 1, 2, 4, 71, and 142, totalling 220.

220 is a number that cannot be written as a sum of three squares.


In the Bible, 220 was the number of goats Jacob gave to his brother Esau ("two hundred she-goats and twenty he-goats") and the number of sheep ("two hundred ewes and twenty rams," Genesis 32:14).

Source: VirtueScience.com