225735080 has 32 divisors (see below), whose sum is σ = 509090400. Its totient is φ = 90083136.

The previous prime is 225735077. The next prime is 225735089. The reversal of 225735080 is 80537522.

225735080 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 (225735089) 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, 11351 + ... + 24089.

It is an arithmetic number, because the mean of its divisors is an integer number (15909075).

Almost surely, 2^225735080 is an apocalyptic number.

225735080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225735080 is an abundant number, since it is smaller than the sum of its proper divisors (283355320).

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

225735080 is a wasteful number, since it uses less digits than its factorization.

225735080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13193 (or 13189 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 225735080 is about 15024.4826866019. The cubic root of 225735080 is about 608.8818358554.

The spelling of 225735080 in words is "two hundred twenty-five million, seven hundred thirty-five thousand, eighty".