314612220 has 96 divisors (see below), whose sum is σ = 956229120. Its totient is φ = 76826880.

The previous prime is 314612189. The next prime is 314612231. The reversal of 314612220 is 22216413.

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, 100641 + ... + 103719.

It is an arithmetic number, because the mean of its divisors is an integer number (9960720).

Almost surely, 2^314612220 is an apocalyptic number.

314612220 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 314612220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478114560).

314612220 is an abundant number, since it is smaller than the sum of its proper divisors (641616900).

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

314612220 is a wasteful number, since it uses less digits than its factorization.

314612220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 314612220 is about 17737.3115211973. The cubic root of 314612220 is about 680.1298915652.

Adding to 314612220 its reverse (22216413), we get a palindrome (336828633).

The spelling of 314612220 in words is "three hundred fourteen million, six hundred twelve thousand, two hundred twenty".