315140224 has 64 divisors (see below), whose sum is σ = 719956800. Its totient is φ = 134599680.

The previous prime is 315140219. The next prime is 315140233. The reversal of 315140224 is 422041513.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 315140195 and 315140204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455719 + ... + 456409.

It is an arithmetic number, because the mean of its divisors is an integer number (11249325).

Almost surely, 2^315140224 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 315140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359978400).

315140224 is an abundant number, since it is smaller than the sum of its proper divisors (404816576).

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

315140224 is an equidigital number, since it uses as much as digits as its factorization.

315140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 315140224 is about 17752.1892734389. The cubic root of 315140224 is about 680.5101592645.

Adding to 315140224 its reverse (422041513), we get a palindrome (737181737).

The spelling of 315140224 in words is "three hundred fifteen million, one hundred forty thousand, two hundred twenty-four".