314132224 has 72 divisors (see below), whose sum is σ = 720207488. Its totient is φ = 133954560.

The previous prime is 314132209. The next prime is 314132233. The reversal of 314132224 is 422231413.

314132224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 314132195 and 314132204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549859 + ... + 550429.

Almost surely, 2^314132224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360103744).

314132224 is an abundant number, since it is smaller than the sum of its proper divisors (406075264).

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

314132224 is an equidigital number, since it uses as much as digits as its factorization.

314132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 887 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 314132224 is about 17723.7756699863. The cubic root of 314132224 is about 679.7838297879.

Adding to 314132224 its reverse (422231413), we get a palindrome (736363637).

The spelling of 314132224 in words is "three hundred fourteen million, one hundred thirty-two thousand, two hundred twenty-four".