225892089 has 24 divisors (see below), whose sum is σ = 332716800. Its totient is φ = 147644640.

The previous prime is 225892063. The next prime is 225892091. The reversal of 225892089 is 980298522.

It is not a de Polignac number, because 225892089 - 2⁷ = 225891961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225892019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262542 + ... + 263400.

It is an arithmetic number, because the mean of its divisors is an integer number (13863200).

Almost surely, 2^225892089 is an apocalyptic number.

It is an amenable number.

225892089 is a deficient number, since it is larger than the sum of its proper divisors (106824711).

225892089 is a wasteful number, since it uses less digits than its factorization.

225892089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 225892089 is about 15029.7068833693. The cubic root of 225892089 is about 609.0229714616.

It can be divided in two parts, 2258920 and 89, that added together give a square (2259009 = 1503²).

The spelling of 225892089 in words is "two hundred twenty-five million, eight hundred ninety-two thousand, eighty-nine".