224734560 has 96 divisors (see below), whose sum is σ = 749583072. Its totient is φ = 56401920.

The previous prime is 224734529. The next prime is 224734583. The reversal of 224734560 is 65437422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5611 + ... + 21930.

It is an arithmetic number, because the mean of its divisors is an integer number (7808157).

Almost surely, 2^224734560 is an apocalyptic number.

224734560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224734560 is an abundant number, since it is smaller than the sum of its proper divisors (524848512).

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

224734560 is a wasteful number, since it uses less digits than its factorization.

224734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27576 (or 27568 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 224734560 is about 14991.1493888894. The cubic root of 224734560 is about 607.9809262253.

The spelling of 224734560 in words is "two hundred twenty-four million, seven hundred thirty-four thousand, five hundred sixty".