224929960 has 32 divisors (see below), whose sum is σ = 506550600. Its totient is φ = 89890560.

The previous prime is 224929951. The next prime is 224929973. The reversal of 224929960 is 69929422.

It can be written as a sum of positive squares in 4 ways, for example, as 146748996 + 78180964 = 12114^2 + 8842^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 63106 + ... + 66574.

Almost surely, 2^224929960 is an apocalyptic number.

224929960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224929960 is an abundant number, since it is smaller than the sum of its proper divisors (281620640).

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

224929960 is a wasteful number, since it uses less digits than its factorization.

224929960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 224929960 is about 14997.6651516161. The cubic root of 224929960 is about 608.1570822776.

The spelling of 224929960 in words is "two hundred twenty-four million, nine hundred twenty-nine thousand, nine hundred sixty".