224557008 has 80 divisors (see below), whose sum is σ = 639334080. Its totient is φ = 67479552.

The previous prime is 224556949. The next prime is 224557019. The reversal of 224557008 is 800755422.

It is a self number, because there is not a number n which added to its sum of digits gives 224557008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22648 + ... + 31016.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^224557008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224557008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040).

224557008 is an abundant number, since it is smaller than the sum of its proper divisors (414777072).

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

224557008 is a wasteful number, since it uses less digits than its factorization.

224557008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 224557008 is about 14985.2263246172. The cubic root of 224557008 is about 607.8207718486.

The spelling of 224557008 in words is "two hundred twenty-four million, five hundred fifty-seven thousand, eight".