225000576 has 96 divisors (see below), whose sum is σ = 685608300. Its totient is φ = 70582272.

The previous prime is 225000569. The next prime is 225000613. The reversal of 225000576 is 675000522.

It can be written as a sum of positive squares in 2 ways, for example, as 225000000 + 576 = 15000^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 13840 + ... + 25328.

Almost surely, 2^225000576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342804150).

225000576 is an abundant number, since it is smaller than the sum of its proper divisors (460607724).

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

225000576 is a wasteful number, since it uses less digits than its factorization.

225000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11526 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 225000576 is about 15000.0191999877. The cubic root of 225000576 is about 608.2207185715.

The spelling of 225000576 in words is "two hundred twenty-five million, five hundred seventy-six", and thus it is an aban number.