224552160 has 144 divisors (see below), whose sum is σ = 875792736. Its totient is φ = 51323904.

The previous prime is 224552143. The next prime is 224552173. The reversal of 224552160 is 61255422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059 + ... + 21218.

It is an arithmetic number, because the mean of its divisors is an integer number (6081894).

Almost surely, 2^224552160 is an apocalyptic number.

224552160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437896368).

224552160 is an abundant number, since it is smaller than the sum of its proper divisors (651240576).

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

224552160 is a wasteful number, since it uses less digits than its factorization.

224552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22305 (or 22294 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 224552160 is about 14985.0645644255. The cubic root of 224552160 is about 607.8163977013.

The spelling of 224552160 in words is "two hundred twenty-four million, five hundred fifty-two thousand, one hundred sixty".