224313920 has 56 divisors (see below), whose sum is σ = 538325568. Its totient is φ = 89024000.

The previous prime is 224313919. The next prime is 224313941. The reversal of 224313920 is 29313422.

It is a hoax number, since the sum of its digits (26) 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 224313920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39245 + ... + 44595.

Almost surely, 2^224313920 is an apocalyptic number.

224313920 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 224313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269162784).

224313920 is an abundant number, since it is smaller than the sum of its proper divisors (314011648).

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

224313920 is a wasteful number, since it uses less digits than its factorization.

224313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 224313920 is about 14977.1132064894. The cubic root of 224313920 is about 607.6013661175.

The spelling of 224313920 in words is "two hundred twenty-four million, three hundred thirteen thousand, nine hundred twenty".