225636360 has 128 divisors (see below), whose sum is σ = 704246400. Its totient is φ = 57784320.

The previous prime is 225636329. The next prime is 225636361. The reversal of 225636360 is 63636522.

225636360 is digitally balanced in base 3, 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 (225636361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394875 + ... + 395445.

It is an arithmetic number, because the mean of its divisors is an integer number (5501925).

Almost surely, 2^225636360 is an apocalyptic number.

225636360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225636360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352123200).

225636360 is an abundant number, since it is smaller than the sum of its proper divisors (478610040).

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

225636360 is a wasteful number, since it uses less digits than its factorization.

225636360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 225636360 is about 15021.1970228740. The cubic root of 225636360 is about 608.7930627984.

The spelling of 225636360 in words is "two hundred twenty-five million, six hundred thirty-six thousand, three hundred sixty".