312428220 has 96 divisors (see below), whose sum is σ = 946294272. Its totient is φ = 76562688.

The previous prime is 312428219. The next prime is 312428231. The reversal of 312428220 is 22824213.

It is a super-2 number, since 2×312428220² = 195222785304736800, which contains 22 as substring.

It is a congruent number.

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, 204379 + ... + 205901.

It is an arithmetic number, because the mean of its divisors is an integer number (9857232).

Almost surely, 2^312428220 is an apocalyptic number.

312428220 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 312428220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473147136).

312428220 is an abundant number, since it is smaller than the sum of its proper divisors (633866052).

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

312428220 is a wasteful number, since it uses less digits than its factorization.

312428220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 312428220 is about 17675.6391680754. The cubic root of 312428220 is about 678.5524425977.

The spelling of 312428220 in words is "three hundred twelve million, four hundred twenty-eight thousand, two hundred twenty".