225957816 has 192 divisors, whose sum is σ = 751168800. Its totient is φ = 62705664.

The previous prime is 225957803. The next prime is 225957817. The reversal of 225957816 is 618759522.

225957816 is a `hidden beast` number, since 22 + 59 + 578 + 1 + 6 = 666.

225957816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225957816² = 102113869222979712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225957817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391320 + ... + 391896.

Almost surely, 2^225957816 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 225957816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375584400).

225957816 is an abundant number, since it is smaller than the sum of its proper divisors (525210984).

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

225957816 is a wasteful number, since it uses less digits than its factorization.

225957816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 225957816 is about 15031.8932939268. The cubic root of 225957816 is about 609.0820341336.

The spelling of 225957816 in words is "two hundred twenty-five million, nine hundred fifty-seven thousand, eight hundred sixteen".