224782880 has 48 divisors (see below), whose sum is σ = 606916800. Its totient is φ = 77068032.

The previous prime is 224782849. The next prime is 224782903. The reversal of 224782880 is 88287422.

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 7 ways as a sum of consecutive naturals, for example, 99230 + ... + 101469.

It is an arithmetic number, because the mean of its divisors is an integer number (12644100).

Almost surely, 2^224782880 is an apocalyptic number.

224782880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224782880 is an abundant number, since it is smaller than the sum of its proper divisors (382133920).

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

224782880 is a wasteful number, since it uses less digits than its factorization.

224782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200721 (or 200713 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The square root of 224782880 is about 14992.7609198573. The cubic root of 224782880 is about 608.0244969354.

The spelling of 224782880 in words is "two hundred twenty-four million, seven hundred eighty-two thousand, eight hundred eighty".