312617220 has 96 divisors (see below), whose sum is σ = 896555520. Its totient is φ = 81369600.

The previous prime is 312617213. The next prime is 312617269. The reversal of 312617220 is 22716213.

312617220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 478414 + ... + 479066.

It is an arithmetic number, because the mean of its divisors is an integer number (9339120).

Almost surely, 2^312617220 is an apocalyptic number.

312617220 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 312617220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448277760).

312617220 is an abundant number, since it is smaller than the sum of its proper divisors (583938300).

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

312617220 is a wasteful number, since it uses less digits than its factorization.

312617220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 312617220 is about 17680.9847010849. The cubic root of 312617220 is about 678.6892426173.

The spelling of 312617220 in words is "three hundred twelve million, six hundred seventeen thousand, two hundred twenty".