224931456 has 48 divisors (see below), whose sum is σ = 647267010. Its totient is φ = 74976768.

The previous prime is 224931451. The next prime is 224931493. The reversal of 224931456 is 654139422.

It is a happy number.

224931456 is a `hidden beast` number, since 22 + 493 + 145 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 21013056 = 14280^2 + 4584^2 .

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224931456.

It is not an unprimeable number, because it can be changed into a prime (224931451) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 96475 + ... + 98778.

Almost surely, 2^224931456 is an apocalyptic number.

It is an amenable number.

224931456 is an abundant number, since it is smaller than the sum of its proper divisors (422335554).

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

224931456 is a wasteful number, since it uses less digits than its factorization.

224931456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195273 (or 195258 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 224931456 is about 14997.7150259631. The cubic root of 224931456 is about 608.1584305506.

The spelling of 224931456 in words is "two hundred twenty-four million, nine hundred thirty-one thousand, four hundred fifty-six".