225845172 has 144 divisors (see below), whose sum is σ = 712624640. Its totient is φ = 61096032.

The previous prime is 225845143. The next prime is 225845173. The reversal of 225845172 is 271548522.

It is a happy number.

225845172 is a `hidden beast` number, since 2 + 2 + 584 + 5 + 1 + 72 = 666.

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

Its product of digits (44800) is a multiple of the sum of its prime factors (1792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225845173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128403 + ... + 130149.

Almost surely, 2^225845172 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 225845172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356312320).

225845172 is an abundant number, since it is smaller than the sum of its proper divisors (486779468).

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

225845172 is a wasteful number, since it uses less digits than its factorization.

225845172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1778 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 225845172 is about 15028.1459934351. The cubic root of 225845172 is about 608.9808045589.

The spelling of 225845172 in words is "two hundred twenty-five million, eight hundred forty-five thousand, one hundred seventy-two".