224905920 has 112 divisors (see below), whose sum is σ = 756135648. Its totient is φ = 56442880.

The previous prime is 224905883. The next prime is 224905927. The reversal of 224905920 is 29509422.

224905920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224905927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9430 + ... + 23210.

Almost surely, 2^224905920 is an apocalyptic number.

224905920 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 224905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378067824).

224905920 is an abundant number, since it is smaller than the sum of its proper divisors (531229728).

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

224905920 is a wasteful number, since it uses less digits than its factorization.

224905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13818 (or 13808 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 224905920 is about 14996.8636721149. The cubic root of 224905920 is about 608.1354153594.

The spelling of 224905920 in words is "two hundred twenty-four million, nine hundred five thousand, nine hundred twenty".