313220224 has 32 divisors (see below), whose sum is σ = 632560140. Its totient is φ = 154460160.

The previous prime is 313220209. The next prime is 313220231. The reversal of 313220224 is 422022313.

It can be written as a sum of positive squares in 2 ways, for example, as 311169600 + 2050624 = 17640^2 + 1432^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×313220224² = 196213817445220352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7417 + ... + 26104.

Almost surely, 2^313220224 is an apocalyptic number.

It is an amenable number.

313220224 is an abundant number, since it is smaller than the sum of its proper divisors (319339916).

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

313220224 is an equidigital number, since it uses as much as digits as its factorization.

313220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33608 (or 33596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 313220224 is about 17698.0288167920. The cubic root of 313220224 is about 679.1253344781.

Adding to 313220224 its reverse (422022313), we get a palindrome (735242537).

The spelling of 313220224 in words is "three hundred thirteen million, two hundred twenty thousand, two hundred twenty-four".