225568800 has 270 divisors, whose sum is σ = 836784333. Its totient is φ = 59132160.

The previous prime is 225568799. The next prime is 225568807. The reversal of 225568800 is 8865522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225568800 is a `hidden beast` number, since 22 + 556 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221057424 + 4511376 = 14868^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10620.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225568807) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3823171 + ... + 3823229.

Almost surely, 2^225568800 is an apocalyptic number.

225568800 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 225568800

225568800 is an abundant number, since it is smaller than the sum of its proper divisors (611215533).

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

225568800 is an equidigital number, since it uses as much as digits as its factorization.

225568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 225568800 is about 15018.9480324023. The cubic root of 225568800 is about 608.7322951617.

The spelling of 225568800 in words is "two hundred twenty-five million, five hundred sixty-eight thousand, eight hundred".