313228620 has 120 divisors (see below), whose sum is σ = 987940800. Its totient is φ = 83075328.

The previous prime is 313228607. The next prime is 313228627. The reversal of 313228620 is 26822313.

313228620 is a `hidden beast` number, since 3 + 1 + 32 + 2 + 8 + 620 = 666.

313228620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×313228620² = 196224336774208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313228627) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386776 + ... + 387584.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2^313228620 is an apocalyptic number.

313228620 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 313228620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493970400).

313228620 is an abundant number, since it is smaller than the sum of its proper divisors (674712180).

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

313228620 is a wasteful number, since it uses less digits than its factorization.

313228620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 313228620 is about 17698.2660167599. The cubic root of 313228620 is about 679.1314025041.

The spelling of 313228620 in words is "three hundred thirteen million, two hundred twenty-eight thousand, six hundred twenty".