225592128 has 70 divisors (see below), whose sum is σ = 668741106. Its totient is φ = 75195648.

The previous prime is 225592069. The next prime is 225592141. The reversal of 225592128 is 821295522.

It can be written as a sum of positive squares in only one way, i.e., 115089984 + 110502144 = 10728^2 + 10512^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 225592092 and 225592101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16575 + ... + 26942.

Almost surely, 2^225592128 is an apocalyptic number.

It is an amenable number.

225592128 is an abundant number, since it is smaller than the sum of its proper divisors (443148978).

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

225592128 is an equidigital number, since it uses as much as digits as its factorization.

225592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43541 (or 43522 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 225592128 is about 15019.7246312973. The cubic root of 225592128 is about 608.7532791771.

The spelling of 225592128 in words is "two hundred twenty-five million, five hundred ninety-two thousand, one hundred twenty-eight".