313144224 has 48 divisors (see below), whose sum is σ = 842063040. Its totient is φ = 101834240.

The previous prime is 313144219. The next prime is 313144243. The reversal of 313144224 is 422441313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313144194 and 313144203.

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, 35844 + ... + 43715.

It is an arithmetic number, because the mean of its divisors is an integer number (17542980).

Almost surely, 2^313144224 is an apocalyptic number.

It is an amenable number.

313144224 is an abundant number, since it is smaller than the sum of its proper divisors (528918816).

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

313144224 is a wasteful number, since it uses less digits than its factorization.

313144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79613 (or 79605 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 313144224 is about 17695.8815547573. The cubic root of 313144224 is about 679.0704022009.

Adding to 313144224 its reverse (422441313), we get a palindrome (735585537).

The spelling of 313144224 in words is "three hundred thirteen million, one hundred forty-four thousand, two hundred twenty-four".