225409152 has 64 divisors (see below), whose sum is σ = 608621760. Its totient is φ = 73896960.

The previous prime is 225409117. The next prime is 225409157. The reversal of 225409152 is 251904522.

225409152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (225409157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18613 + ... + 28235.

It is an arithmetic number, because the mean of its divisors is an integer number (9509715).

Almost surely, 2^225409152 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 225409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304310880).

225409152 is an abundant number, since it is smaller than the sum of its proper divisors (383212608).

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

225409152 is an equidigital number, since it uses as much as digits as its factorization.

225409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 225409152 is about 15013.6322054325. The cubic root of 225409152 is about 608.5886496608.

The spelling of 225409152 in words is "two hundred twenty-five million, four hundred nine thousand, one hundred fifty-two".