225918576 has 240 divisors, whose sum is σ = 747452160. Its totient is φ = 63037440.

The previous prime is 225918571. The next prime is 225918587. The reversal of 225918576 is 675819522.

225918576 is a `hidden beast` number, since 2 + 2 + 591 + 8 + 57 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225918571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986430 + ... + 986658.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384).

Almost surely, 2^225918576 is an apocalyptic number.

225918576 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 225918576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373726080).

225918576 is an abundant number, since it is smaller than the sum of its proper divisors (521533584).

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

225918576 is a wasteful number, since it uses less digits than its factorization.

225918576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

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

The square root of 225918576 is about 15030.5880124498. The cubic root of 225918576 is about 609.0467742149.

The spelling of 225918576 in words is "two hundred twenty-five million, nine hundred eighteen thousand, five hundred seventy-six".