225525600 has 288 divisors, whose sum is σ = 835259040. Its totient is φ = 58705920.

The previous prime is 225525581. The next prime is 225525613. The reversal of 225525600 is 6525522.

225525600 is a `hidden beast` number, since 2 + 2 + 5 + 52 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144702 + ... + 1144898.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2^225525600 is an apocalyptic number.

225525600 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 225525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417629520).

225525600 is an abundant number, since it is smaller than the sum of its proper divisors (609733440).

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

225525600 is a wasteful number, since it uses less digits than its factorization.

225525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 225525600 is about 15017.5097802532. The cubic root of 225525600 is about 608.6934320534.

It can be divided in two parts, 225 and 525600, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 225525600 in words is "two hundred twenty-five million, five hundred twenty-five thousand, six hundred".