225691056 has 80 divisors (see below), whose sum is σ = 649645920. Its totient is φ = 75018240.

The previous prime is 225691043. The next prime is 225691057. The reversal of 225691056 is 650196522.

It is a super-3 number, since 3×225691056³ (a number of 26 digits) contains 333 as substring.

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 225691056.

It is not an unprimeable number, because it can be changed into a prime (225691057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255736 + ... + 256616.

It is an arithmetic number, because the mean of its divisors is an integer number (8120574).

Almost surely, 2^225691056 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 225691056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324822960).

225691056 is an abundant number, since it is smaller than the sum of its proper divisors (423954864).

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

225691056 is a wasteful number, since it uses less digits than its factorization.

225691056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 225691056 is about 15023.0175397621. The cubic root of 225691056 is about 608.8422508742.

The spelling of 225691056 in words is "two hundred twenty-five million, six hundred ninety-one thousand, fifty-six".