224378560 has 56 divisors (see below), whose sum is σ = 610636320. Its totient is φ = 76929024.

The previous prime is 224378537. The next prime is 224378569. The reversal of 224378560 is 65873422.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (224378569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47845 + ... + 52324.

It is an arithmetic number, because the mean of its divisors is an integer number (10904220).

Almost surely, 2^224378560 is an apocalyptic number.

224378560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224378560 is an abundant number, since it is smaller than the sum of its proper divisors (386257760).

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

224378560 is a wasteful number, since it uses less digits than its factorization.

224378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100193 (or 100183 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 224378560 is about 14979.2710102995. The cubic root of 224378560 is about 607.6597241844.

The spelling of 224378560 in words is "two hundred twenty-four million, three hundred seventy-eight thousand, five hundred sixty".