312355220 has 48 divisors (see below), whose sum is σ = 674645328. Its totient is φ = 121405440.

The previous prime is 312355207. The next prime is 312355223. The reversal of 312355220 is 22553213.

It can be written as a sum of positive squares in 8 ways, for example, as 157452304 + 154902916 = 12548^2 + 12446^2 .

It is a super-2 number, since 2×312355220² = 195131566922496800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312355223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256052 + ... + 257268.

It is an arithmetic number, because the mean of its divisors is an integer number (14055111).

Almost surely, 2^312355220 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 312355220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337322664).

312355220 is an abundant number, since it is smaller than the sum of its proper divisors (362290108).

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

312355220 is a wasteful number, since it uses less digits than its factorization.

312355220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 312355220 is about 17673.5740584637. The cubic root of 312355220 is about 678.4995897250.

The spelling of 312355220 in words is "three hundred twelve million, three hundred fifty-five thousand, two hundred twenty".