225536832 has 112 divisors (see below), whose sum is σ = 677387520. Its totient is φ = 73552896.

The previous prime is 225536797. The next prime is 225536851. The reversal of 225536832 is 238635522.

225536832 is a `hidden beast` number, since 22 + 553 + 6 + 83 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79828 + ... + 82604.

Almost surely, 2^225536832 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 225536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338693760).

225536832 is an abundant number, since it is smaller than the sum of its proper divisors (451850688).

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

225536832 is a wasteful number, since it uses less digits than its factorization.

225536832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2829 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 225536832 is about 15017.8837390626. The cubic root of 225536832 is about 608.7035369390.

The spelling of 225536832 in words is "two hundred twenty-five million, five hundred thirty-six thousand, eight hundred thirty-two".