313010224 has 80 divisors (see below), whose sum is σ = 662814720. Its totient is φ = 142813440.

The previous prime is 313010219. The next prime is 313010231. The reversal of 313010224 is 422010313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 313010198 and 313010207.

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, 675817 + ... + 676279.

It is an arithmetic number, because the mean of its divisors is an integer number (8285184).

Almost surely, 2^313010224 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 313010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331407360).

313010224 is an abundant number, since it is smaller than the sum of its proper divisors (349804496).

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

313010224 is a wasteful number, since it uses less digits than its factorization.

313010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313010224 is about 17692.0949579184. The cubic root of 313010224 is about 678.9735262680.

Adding to 313010224 its reverse (422010313), we get a palindrome (735020537).

The spelling of 313010224 in words is "three hundred thirteen million, ten thousand, two hundred twenty-four".