224565120 has 192 divisors, whose sum is σ = 835380000. Its totient is φ = 55259136.

The previous prime is 224565109. The next prime is 224565127. The reversal of 224565120 is 21565422.

224565120 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×224565120² = 100858986241228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224565127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73381 + ... + 76379.

Almost surely, 2^224565120 is an apocalyptic number.

224565120 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 224565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417690000).

224565120 is an abundant number, since it is smaller than the sum of its proper divisors (610814880).

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

224565120 is a wasteful number, since it uses less digits than its factorization.

224565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 224565120 is about 14985.4969887555. The cubic root of 224565120 is about 607.8280908256.

The spelling of 224565120 in words is "two hundred twenty-four million, five hundred sixty-five thousand, one hundred twenty".