225568512 has 216 divisors, whose sum is σ = 743271984. Its totient is φ = 65175552.

The previous prime is 225568501. The next prime is 225568523. The reversal of 225568512 is 215865522.

It is a happy number.

225568512 is a `hidden beast` number, since 22 + 556 + 85 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (225568501) and next prime (225568523).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508963 + ... + 509405.

It is an arithmetic number, because the mean of its divisors is an integer number (3441074).

Almost surely, 2^225568512 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 225568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371635992).

225568512 is an abundant number, since it is smaller than the sum of its proper divisors (517703472).

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

225568512 is a wasteful number, since it uses less digits than its factorization.

225568512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

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

The square root of 225568512 is about 15018.9384445107. The cubic root of 225568512 is about 608.7320360908.

The spelling of 225568512 in words is "two hundred twenty-five million, five hundred sixty-eight thousand, five hundred twelve".