312228315 has 24 divisors (see below), whose sum is σ = 618510048. Its totient is φ = 142732800.

The previous prime is 312228299. The next prime is 312228331. The reversal of 312228315 is 513822213.

312228315 = 4716² + 4717² + ... + 4729².

It is an interprime number because it is at equal distance from previous prime (312228299) and next prime (312228331).

It is not a de Polignac number, because 312228315 - 2⁴ = 312228299 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495286 + ... + 495915.

It is an arithmetic number, because the mean of its divisors is an integer number (25771252).

Almost surely, 2^312228315 is an apocalyptic number.

312228315 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

312228315 is a deficient number, since it is larger than the sum of its proper divisors (306281733).

312228315 is a wasteful number, since it uses less digits than its factorization.

312228315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991219 (or 991216 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 312228315 is about 17669.9834465118. The cubic root of 312228315 is about 678.4076893836.

The spelling of 312228315 in words is "three hundred twelve million, two hundred twenty-eight thousand, three hundred fifteen".