313232220 has 72 divisors (see below), whose sum is σ = 1085876064. Its totient is φ = 71595648.

The previous prime is 313232203. The next prime is 313232221. The reversal of 313232220 is 22232313.

It is a happy number.

It is a super-2 number, since 2×313232220² = 196228847292256800, which contains 22 as substring.

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 = 313232193 and 313232202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313232221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123039 + ... + 125558.

It is an arithmetic number, because the mean of its divisors is an integer number (15081612).

Almost surely, 2^313232220 is an apocalyptic number.

313232220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313232220 is an abundant number, since it is smaller than the sum of its proper divisors (772643844).

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

313232220 is a wasteful number, since it uses less digits than its factorization.

313232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248619 (or 248614 counting only the distinct ones).

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

The square root of 313232220 is about 17698.3677213465. The cubic root of 313232220 is about 679.1340042924.

Adding to 313232220 its reverse (22232313), we get a palindrome (335464533).

The spelling of 313232220 in words is "three hundred thirteen million, two hundred thirty-two thousand, two hundred twenty".