225268560 has 320 divisors, whose sum is σ = 892800000. Its totient is φ = 51632640.

The previous prime is 225268559. The next prime is 225268573. The reversal of 225268560 is 65862522.

225268560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451191 + ... + 451689.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2^225268560 is an apocalyptic number.

225268560 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 225268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400000).

225268560 is an abundant number, since it is smaller than the sum of its proper divisors (667531440).

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

225268560 is a wasteful number, since it uses less digits than its factorization.

225268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 225268560 is about 15008.9493303162. The cubic root of 225268560 is about 608.4620938846.

The spelling of 225268560 in words is "two hundred twenty-five million, two hundred sixty-eight thousand, five hundred sixty".