225409536 has 120 divisors (see below), whose sum is σ = 709847424. Its totient is φ = 68290560.

The previous prime is 225409523. The next prime is 225409537. The reversal of 225409536 is 635904522.

225409536 is a `hidden beast` number, since 22 + 540 + 95 + 3 + 6 = 666.

225409536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225409536.

It is not an unprimeable number, because it can be changed into a prime (225409537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48465 + ... + 52911.

Almost surely, 2^225409536 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 225409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354923712).

225409536 is an abundant number, since it is smaller than the sum of its proper divisors (484437888).

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

225409536 is a wasteful number, since it uses less digits than its factorization.

225409536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 225409536 is about 15013.6449938048. The cubic root of 225409536 is about 608.5889952515.

The spelling of 225409536 in words is "two hundred twenty-five million, four hundred nine thousand, five hundred thirty-six".