225088452 has 72 divisors (see below), whose sum is σ = 585591552. Its totient is φ = 72864000.

The previous prime is 225088441. The next prime is 225088463. The reversal of 225088452 is 254880522.

225088452 is a `hidden beast` number, since 22 + 508 + 84 + 52 = 666.

225088452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225088441) and next prime (225088463).

It is a super-2 number, since 2×225088452² = 101329622447512608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255052 + ... + 255932.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2^225088452 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 225088452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292795776).

225088452 is an abundant number, since it is smaller than the sum of its proper divisors (360503100).

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

225088452 is a wasteful number, since it uses less digits than its factorization.

225088452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 225088452 is about 15002.9481102882. The cubic root of 225088452 is about 608.2998902905.

The spelling of 225088452 in words is "two hundred twenty-five million, eighty-eight thousand, four hundred fifty-two".