224813568 has 240 divisors, whose sum is σ = 727721280. Its totient is φ = 61415424.

The previous prime is 224813543. The next prime is 224813573. The reversal of 224813568 is 865318422.

It is a super-2 number, since 2×224813568² = 101082280713781248, which contains 22 as substring.

Its product of digits (92160) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2182605 + ... + 2182707.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 2^224813568 is an apocalyptic number.

224813568 is a gapful number since it is divisible by the number (28) 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 224813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363860640).

224813568 is an abundant number, since it is smaller than the sum of its proper divisors (502907712).

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

224813568 is a wasteful number, since it uses less digits than its factorization.

224813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 224813568 is about 14993.7843121742. The cubic root of 224813568 is about 608.0521654226.

The spelling of 224813568 in words is "two hundred twenty-four million, eight hundred thirteen thousand, five hundred sixty-eight".