225796896 has 120 divisors (see below), whose sum is σ = 715250844. Its totient is φ = 69465600.

The previous prime is 225796889. The next prime is 225796897. The reversal of 225796896 is 698697522.

225796896 is a `hidden beast` number, since 2 + 2 + 579 + 68 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212576400 + 13220496 = 14580^2 + 3636^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225796897) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 30346 + ... + 37046.

Almost surely, 2^225796896 is an apocalyptic number.

225796896 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 225796896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357625422).

225796896 is an abundant number, since it is smaller than the sum of its proper divisors (489453948).

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

225796896 is a wasteful number, since it uses less digits than its factorization.

225796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6719 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 225796896 is about 15026.5397214395. The cubic root of 225796896 is about 608.9374101513.

The spelling of 225796896 in words is "two hundred twenty-five million, seven hundred ninety-six thousand, eight hundred ninety-six".