220313120 has 24 divisors (see below), whose sum is σ = 520490124. Its totient is φ = 88125184.

The previous prime is 220313101. The next prime is 220313147. The reversal of 220313120 is 21313022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 218684944 + 1628176 = 14788^2 + 1276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220313095 and 220313104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 688319 + ... + 688638.

Almost surely, 2^220313120 is an apocalyptic number.

220313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220313120 is an abundant number, since it is smaller than the sum of its proper divisors (300177004).

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

220313120 is a wasteful number, since it uses less digits than its factorization.

220313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376972 (or 1376964 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 220313120 is about 14842.9484941503. The cubic root of 220313120 is about 603.9673388476.

Adding to 220313120 its reverse (21313022), we get a palindrome (241626142).

The spelling of 220313120 in words is "two hundred twenty million, three hundred thirteen thousand, one hundred twenty".