225253961100 has 360 divisors, whose sum is σ = 845943404768. Its totient is φ = 50780390400.

The previous prime is 225253961081. The next prime is 225253961129. The reversal of 225253961100 is 1169352522.

It is a happy number.

225253961100 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 5 + 39 + 611 + 0 + 0 = 666.

225253961100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4111890 + ... + 4166310.

Almost surely, 2^225253961100 is an apocalyptic number.

225253961100 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 225253961100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422971702384).

225253961100 is an abundant number, since it is smaller than the sum of its proper divisors (620689443668).

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

225253961100 is a wasteful number, since it uses less digits than its factorization.

225253961100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54527 (or 54511 counting only the distinct ones).

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

The spelling of 225253961100 in words is "two hundred twenty-five billion, two hundred fifty-three million, nine hundred sixty-one thousand, one hundred".