314226912 has 96 divisors (see below), whose sum is σ = 901684224. Its totient is φ = 95385600.

The previous prime is 314226907. The next prime is 314226931. The reversal of 314226912 is 219622413.

314226912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 314226912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47487 + ... + 53697.

It is an arithmetic number, because the mean of its divisors is an integer number (9392544).

Almost surely, 2^314226912 is an apocalyptic number.

314226912 is a gapful number since it is divisible by the number (32) 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 314226912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450842112).

314226912 is an abundant number, since it is smaller than the sum of its proper divisors (587457312).

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

314226912 is a wasteful number, since it uses less digits than its factorization.

314226912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6264 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 314226912 is about 17726.4466828522. The cubic root of 314226912 is about 679.8521247076.

The spelling of 314226912 in words is "three hundred fourteen million, two hundred twenty-six thousand, nine hundred twelve".