225712656 has 100 divisors (see below), whose sum is σ = 703582572. Its totient is φ = 69444864.

The previous prime is 225712651. The next prime is 225712661. The reversal of 225712656 is 656217522.

225712656 is a `hidden beast` number, since 22 + 571 + 2 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (225712651) and next prime (225712661).

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 207360000 = 4284^2 + 14400^2 .

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 225712656.

It is not an unprimeable number, because it can be changed into a prime (225712651) by changing a digit.

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, 10150 + ... + 23546.

Almost surely, 2^225712656 is an apocalyptic number.

225712656 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 225712656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351791286).

225712656 is an abundant number, since it is smaller than the sum of its proper divisors (477869916).

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

225712656 is a wasteful number, since it uses less digits than its factorization.

225712656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430 (or 13415 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 225712656 is about 15023.7364194131. The cubic root of 225712656 is about 608.8616735507.

The spelling of 225712656 in words is "two hundred twenty-five million, seven hundred twelve thousand, six hundred fifty-six".