224960920 has 16 divisors (see below), whose sum is σ = 506162160. Its totient is φ = 89984352.

The previous prime is 224960909. The next prime is 224960921. The reversal of 224960920 is 29069422.

It is a happy number.

It is a super-4 number, since 4×224960920⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224960921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2811972 + ... + 2812051.

It is an arithmetic number, because the mean of its divisors is an integer number (31635135).

Almost surely, 2^224960920 is an apocalyptic number.

224960920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224960920 is an abundant number, since it is smaller than the sum of its proper divisors (281201240).

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

224960920 is a wasteful number, since it uses less digits than its factorization.

224960920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624034 (or 5624030 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 224960920 is about 14998.6972767637. The cubic root of 224960920 is about 608.1849838215.

The spelling of 224960920 in words is "two hundred twenty-four million, nine hundred sixty thousand, nine hundred twenty".