224456900 has 36 divisors (see below), whose sum is σ = 492958032. Its totient is φ = 88697760.

The previous prime is 224456893. The next prime is 224456917. The reversal of 224456900 is 9654422.

It is a super-2 number, since 2×224456900² = 100761799915220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5222 + ... + 21821.

Almost surely, 2^224456900 is an apocalyptic number.

224456900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224456900 is an abundant number, since it is smaller than the sum of its proper divisors (268501132).

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

224456900 is a wasteful number, since it uses less digits than its factorization.

224456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27140 (or 27133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 224456900 is about 14981.8857291063. The cubic root of 224456900 is about 607.7304358182.

The spelling of 224456900 in words is "two hundred twenty-four million, four hundred fifty-six thousand, nine hundred".