313228608 has 112 divisors (see below), whose sum is σ = 1033296384. Its totient is φ = 81354240.

The previous prime is 313228607. The next prime is 313228627. The reversal of 313228608 is 806822313.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×313228608² = 196224321739235328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313228603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4191 + ... + 25377.

Almost surely, 2^313228608 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 313228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516648192).

313228608 is an abundant number, since it is smaller than the sum of its proper divisors (720067776).

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

313228608 is a wasteful number, since it uses less digits than its factorization.

313228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21220 (or 21210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 313228608 is about 17698.2656777437. The cubic root of 313228608 is about 679.1313938314.

The spelling of 313228608 in words is "three hundred thirteen million, two hundred twenty-eight thousand, six hundred eight".