224913920 has 240 divisors, whose sum is σ = 688536288. Its totient is φ = 69672960.

The previous prime is 224913919. The next prime is 224913977. The reversal of 224913920 is 29319422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379759 + ... + 1379921.

Almost surely, 2^224913920 is an apocalyptic number.

224913920 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 224913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344268144).

224913920 is an abundant number, since it is smaller than the sum of its proper divisors (463622368).

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

224913920 is a wasteful number, since it uses less digits than its factorization.

224913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 224913920 is about 14997.1303921784. The cubic root of 224913920 is about 608.1426258197.

The spelling of 224913920 in words is "two hundred twenty-four million, nine hundred thirteen thousand, nine hundred twenty".