225853056 has 256 divisors, whose sum is σ = 784828800. Its totient is φ = 63037440.

The previous prime is 225852997. The next prime is 225853079. The reversal of 225853056 is 650358522.

It is a happy number.

225853056 is a `hidden beast` number, since 22 + 58 + 530 + 56 = 666.

225853056 is digitally balanced in base 2 and base 3, because in such bases 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 self number, because there is not a number n which added to its sum of digits gives 225853056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493980 + ... + 494436.

Almost surely, 2^225853056 is an apocalyptic number.

225853056 is a gapful number since it is divisible by the number (26) 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 225853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392414400).

225853056 is an abundant number, since it is smaller than the sum of its proper divisors (558975744).

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

225853056 is a wasteful number, since it uses less digits than its factorization.

225853056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 225853056 is about 15028.4082989517. The cubic root of 225853056 is about 608.9878907539.

The spelling of 225853056 in words is "two hundred twenty-five million, eight hundred fifty-three thousand, fifty-six".