225273636900 has 243 divisors, whose sum is σ = 765230612601. Its totient is φ = 55406407680.

The previous prime is 225273636793. The next prime is 225273636941. The reversal of 225273636900 is 9636372522.

The square root of 225273636900 is 474630.

It is a perfect power (a square), and thus also a powerful number.

225273636900 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 7 + 3 + 636 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 223636301604 + 1637335296 = 472902^2 + 40464^2 .

It is a super-2 number, since 2×225273636900² (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 polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 185105092 + ... + 185106308.

Almost surely, 2^225273636900 is an apocalyptic number.

225273636900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225273636900 is the 474630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225273636900

225273636900 is an abundant number, since it is smaller than the sum of its proper divisors (539956975701).

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

225273636900 is a wasteful number, since it uses less digits than its factorization.

225273636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 225273636900 in words is "two hundred twenty-five billion, two hundred seventy-three million, six hundred thirty-six thousand, nine hundred".