225932717556 has 192 divisors, whose sum is σ = 745785331200. Its totient is φ = 57531866112.

The previous prime is 225932717551. The next prime is 225932717573. The reversal of 225932717556 is 655717239522.

225932717556 is a `hidden beast` number, since 2 + 2 + 59 + 3 + 27 + 17 + 556 = 666.

It is a super-2 number, since 2×225932717556² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225932717551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111345 + ... + 681368.

It is an arithmetic number, because the mean of its divisors is an integer number (3884298600).

Almost surely, 2^225932717556 is an apocalyptic number.

225932717556 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 225932717556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372892665600).

225932717556 is an abundant number, since it is smaller than the sum of its proper divisors (519852613644).

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

225932717556 is a wasteful number, since it uses less digits than its factorization.

225932717556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792775 (or 792767 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 225932717556 in words is "two hundred twenty-five billion, nine hundred thirty-two million, seven hundred seventeen thousand, five hundred fifty-six".