225752832 has 216 divisors, whose sum is σ = 714255360. Its totient is φ = 70917120.

The previous prime is 225752803. The next prime is 225752837. The reversal of 225752832 is 238257522.

It is a happy number.

225752832 is a `hidden beast` number, since 2 + 2 + 575 + 2 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225752837) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1181857 + ... + 1182047.

Almost surely, 2^225752832 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 225752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

225752832 is an abundant number, since it is smaller than the sum of its proper divisors (488502528).

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

225752832 is an equidigital number, since it uses as much as digits as its factorization.

225752832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 225752832 is about 15025.0734440801. The cubic root of 225752832 is about 608.8977964334.

The spelling of 225752832 in words is "two hundred twenty-five million, seven hundred fifty-two thousand, eight hundred thirty-two".