313085220 has 96 divisors (see below), whose sum is σ = 1006387200. Its totient is φ = 71240064.

The previous prime is 313085219. The next prime is 313085263. The reversal of 313085220 is 22580313.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98821 + ... + 101939.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2^313085220 is an apocalyptic number.

313085220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313085220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

313085220 is an abundant number, since it is smaller than the sum of its proper divisors (693301980).

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

313085220 is a wasteful number, since it uses less digits than its factorization.

313085220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 313085220 is about 17694.2143086377. The cubic root of 313085220 is about 679.0277483865.

The spelling of 313085220 in words is "three hundred thirteen million, eighty-five thousand, two hundred twenty".