225616752 has 210 divisors, whose sum is σ = 708290232. Its totient is φ = 69455232.

The previous prime is 225616751. The next prime is 225616757. The reversal of 225616752 is 257616522.

225616752 is a `hidden beast` number, since 22 + 561 + 6 + 75 + 2 = 666.

225616752 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (225616751) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 7779874 + ... + 7779902.

Almost surely, 2^225616752 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 225616752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354145116).

225616752 is an abundant number, since it is smaller than the sum of its proper divisors (482673480).

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

225616752 is an equidigital number, since it uses as much as digits as its factorization.

225616752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 225616752 is about 15020.5443310154. The cubic root of 225616752 is about 608.7754274017.

The spelling of 225616752 in words is "two hundred twenty-five million, six hundred sixteen thousand, seven hundred fifty-two".