225595776 has 256 divisors, whose sum is σ = 740275200. Its totient is φ = 59473920.

The previous prime is 225595739. The next prime is 225595787. The reversal of 225595776 is 677595522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2534740 + ... + 2534828.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^225595776 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 225595776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

225595776 is an abundant number, since it is smaller than the sum of its proper divisors (514679424).

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

225595776 is a wasteful number, since it uses less digits than its factorization.

225595776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 48.

The square root of 225595776 is about 15019.8460711154. The cubic root of 225595776 is about 608.7565604972.

The spelling of 225595776 in words is "two hundred twenty-five million, five hundred ninety-five thousand, seven hundred seventy-six".