312323220 has 72 divisors (see below), whose sum is σ = 1033512480. Its totient is φ = 75714240.

The previous prime is 312323191. The next prime is 312323251. The reversal of 312323220 is 22323213.

It is a happy number.

312323220 is a `hidden beast` number, since 312 + 32 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312323193 and 312323202.

It is a congruent number.

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, 76890 + ... + 80849.

It is an arithmetic number, because the mean of its divisors is an integer number (14354340).

Almost surely, 2^312323220 is an apocalyptic number.

312323220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312323220 is an abundant number, since it is smaller than the sum of its proper divisors (721189260).

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

312323220 is a wasteful number, since it uses less digits than its factorization.

312323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157765 (or 157760 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312323220 is about 17672.6687288593. The cubic root of 312323220 is about 678.4764187464.

Adding to 312323220 its reverse (22323213), we get a palindrome (334646433).

The spelling of 312323220 in words is "three hundred twelve million, three hundred twenty-three thousand, two hundred twenty".