313264224 has 144 divisors (see below), whose sum is σ = 1096516512. Its totient is φ = 82612224.

The previous prime is 313264223. The next prime is 313264261. The reversal of 313264224 is 422462313.

313264224 is a `hidden beast` number, since 3 + 13 + 2 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313264223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20232 + ... + 32184.

It is an arithmetic number, because the mean of its divisors is an integer number (7614698).

Almost surely, 2^313264224 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 313264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548258256).

313264224 is an abundant number, since it is smaller than the sum of its proper divisors (783252288).

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

313264224 is a wasteful number, since it uses less digits than its factorization.

313264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989 (or 11978 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 313264224 is about 17699.2718494293. The cubic root of 313264224 is about 679.1571333141.

The spelling of 313264224 in words is "three hundred thirteen million, two hundred sixty-four thousand, two hundred twenty-four".