225700171776 has 312 divisors, whose sum is σ = 685678111560. Its totient is φ = 71427686400.

The previous prime is 225700171757. The next prime is 225700171783. The reversal of 225700171776 is 677171007522.

225700171776 is a `hidden beast` number, since 2 + 2 + 570 + 0 + 1 + 7 + 1 + 7 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 796594176 + 224903577600 = 28224^2 + 474240^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65210686 + ... + 65214146.

It is an arithmetic number, because the mean of its divisors is an integer number (2197686255).

Almost surely, 2^225700171776 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 225700171776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342839055780).

225700171776 is an abundant number, since it is smaller than the sum of its proper divisors (459977939784).

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

225700171776 is a wasteful number, since it uses less digits than its factorization.

225700171776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 225700171776 in words is "two hundred twenty-five billion, seven hundred million, one hundred seventy-one thousand, seven hundred seventy-six".