315313224 has 64 divisors (see below), whose sum is σ = 808151040. Its totient is φ = 102473280.

The previous prime is 315313211. The next prime is 315313237. The reversal of 315313224 is 422313513.

It is an interprime number because it is at equal distance from previous prime (315313211) and next prime (315313237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 315313194 and 315313203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499389 + ... + 500019.

It is an arithmetic number, because the mean of its divisors is an integer number (12627360).

Almost surely, 2^315313224 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 315313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404075520).

315313224 is an abundant number, since it is smaller than the sum of its proper divisors (492837816).

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

315313224 is a wasteful number, since it uses less digits than its factorization.

315313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 315313224 is about 17757.0612433477. The cubic root of 315313224 is about 680.6346612189.

Adding to 315313224 its reverse (422313513), we get a palindrome (737626737).

The spelling of 315313224 in words is "three hundred fifteen million, three hundred thirteen thousand, two hundred twenty-four".