225817760 has 48 divisors (see below), whose sum is σ = 609710976. Its totient is φ = 77422848.

The previous prime is 225817759. The next prime is 225817763. The reversal of 225817760 is 67718522.

225817760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225817763) 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, 99692 + ... + 101931.

It is an arithmetic number, because the mean of its divisors is an integer number (12702312).

Almost surely, 2^225817760 is an apocalyptic number.

225817760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225817760 is an abundant number, since it is smaller than the sum of its proper divisors (383893216).

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

225817760 is a wasteful number, since it uses less digits than its factorization.

225817760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201645 (or 201637 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 225817760 is about 15027.2339437436. The cubic root of 225817760 is about 608.9561651756.

It can be divided in two parts, 22581 and 7760, that multiplied together give a triangular number (175228560 = T₁₈₇₂₀).

The spelling of 225817760 in words is "two hundred twenty-five million, eight hundred seventeen thousand, seven hundred sixty".