312333220 has 12 divisors (see below), whose sum is σ = 655899804. Its totient is φ = 124933280.

The previous prime is 312333199. The next prime is 312333221. The reversal of 312333220 is 22333213.

It is a happy number.

312333220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 242175844 + 70157376 = 15562^2 + 8376^2 .

It is not an unprimeable number, because it can be changed into a prime (312333221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7808311 + ... + 7808350.

It is an arithmetic number, because the mean of its divisors is an integer number (54658317).

Almost surely, 2^312333220 is an apocalyptic number.

It is an amenable number.

312333220 is an abundant number, since it is smaller than the sum of its proper divisors (343566584).

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

312333220 is a wasteful number, since it uses less digits than its factorization.

312333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15616670 (or 15616668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 312333220 is about 17672.9516493426. The cubic root of 312333220 is about 678.4836598472.

Adding to 312333220 its reverse (22333213), we get a palindrome (334666433).

It can be divided in two parts, 31233 and 3220, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 312333220 in words is "three hundred twelve million, three hundred thirty-three thousand, two hundred twenty".