220312100 has 18 divisors (see below), whose sum is σ = 478077474. Its totient is φ = 88124800.

The previous prime is 220312069. The next prime is 220312109. The reversal of 220312100 is 1213022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3810304 + 216501796 = 1952^2 + 14714^2 .

It is not an unprimeable number, because it can be changed into a prime (220312109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1101461 + ... + 1101660.

Almost surely, 2^220312100 is an apocalyptic number.

220312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220312100 is an abundant number, since it is smaller than the sum of its proper divisors (257765374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220312100 is a wasteful number, since it uses less digits than its factorization.

220312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203135 (or 2203128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 220312100 is about 14842.9141343605. The cubic root of 220312100 is about 603.9664067687.

Adding to 220312100 its reverse (1213022), we get a palindrome (221525122).

The spelling of 220312100 in words is "two hundred twenty million, three hundred twelve thousand, one hundred".