312615220 has 24 divisors (see below), whose sum is σ = 674236584. Its totient is φ = 121666176.

The previous prime is 312615211. The next prime is 312615223. The reversal of 312615220 is 22516213.

It can be written as a sum of positive squares in 4 ways, for example, as 175350564 + 137264656 = 13242^2 + 11716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312615191 and 312615200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312615223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210487 + ... + 211966.

It is an arithmetic number, because the mean of its divisors is an integer number (28093191).

Almost surely, 2^312615220 is an apocalyptic number.

It is an amenable number.

312615220 is an abundant number, since it is smaller than the sum of its proper divisors (361621364).

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

312615220 is a wasteful number, since it uses less digits than its factorization.

312615220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422499 (or 422497 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 312615220 is about 17680.9281430586. The cubic root of 312615220 is about 678.6877952868.

It can be divided in two parts, 31261 and 5220, that added together give a square (36481 = 191²).

The spelling of 312615220 in words is "three hundred twelve million, six hundred fifteen thousand, two hundred twenty".