313564224 has 56 divisors (see below), whose sum is σ = 837305920. Its totient is φ = 103555584.

The previous prime is 313564183. The next prime is 313564259. The reversal of 313564224 is 422465313.

It is a junction number, because it is equal to n+sod(n) for n = 313564191 and 313564200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13437 + ... + 28419.

Almost surely, 2^313564224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418652960).

313564224 is an abundant number, since it is smaller than the sum of its proper divisors (523741696).

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

313564224 is a wasteful number, since it uses less digits than its factorization.

313564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15107 (or 15097 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 313564224 is about 17707.7447462967. The cubic root of 313564224 is about 679.3738642385.

The spelling of 313564224 in words is "three hundred thirteen million, five hundred sixty-four thousand, two hundred twenty-four".