225856512 has 220 divisors, whose sum is σ = 772783440. Its totient is φ = 64364544.

The previous prime is 225856507. The next prime is 225856537. The reversal of 225856512 is 215658522.

It is a happy number.

225856512 is a `hidden beast` number, since 2 + 2 + 585 + 65 + 12 = 666.

It is a super-2 number, since 2×225856512² = 102022328025612288, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580414 + ... + 580802.

It is an arithmetic number, because the mean of its divisors is an integer number (3512652).

Almost surely, 2^225856512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386391720).

225856512 is an abundant number, since it is smaller than the sum of its proper divisors (546926928).

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

225856512 is an equidigital number, since it uses as much as digits as its factorization.

225856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 225856512 is about 15028.5232807485. The cubic root of 225856512 is about 608.9909969792.

The spelling of 225856512 in words is "two hundred twenty-five million, eight hundred fifty-six thousand, five hundred twelve".