225952231680 has 864 divisors, whose sum is σ = 951617721600. Its totient is φ = 48349052928.

The previous prime is 225952231667. The next prime is 225952231711. The reversal of 225952231680 is 86132259522.

225952231680 is a `hidden beast` number, since 2 + 2 + 595 + 22 + 31 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×225952231680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 136361412 + ... + 136363068.

It is an arithmetic number, because the mean of its divisors is an integer number (1101409400).

Almost surely, 2^225952231680 is an apocalyptic number.

225952231680 is a gapful number since it is divisible by the number (20) 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 225952231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475808860800).

225952231680 is an abundant number, since it is smaller than the sum of its proper divisors (725665489920).

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

225952231680 is a wasteful number, since it uses less digits than its factorization.

225952231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 225952231680 in words is "two hundred twenty-five billion, nine hundred fifty-two million, two hundred thirty-one thousand, six hundred eighty".