224290880 has 56 divisors (see below), whose sum is σ = 582655680. Its totient is φ = 81559040.

The previous prime is 224290879. The next prime is 224290883. The reversal of 224290880 is 88092422.

224290880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 224290880.

It is not an unprimeable number, because it can be changed into a prime (224290883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28340 + ... + 35379.

Almost surely, 2^224290880 is an apocalyptic number.

224290880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224290880 is an abundant number, since it is smaller than the sum of its proper divisors (358364800).

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

224290880 is a wasteful number, since it uses less digits than its factorization.

224290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63747 (or 63737 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 224290880 is about 14976.3440131429. The cubic root of 224290880 is about 607.5805625121.

The spelling of 224290880 in words is "two hundred twenty-four million, two hundred ninety thousand, eight hundred eighty".