225994989900 has 144 divisors (see below), whose sum is σ = 682562320160. Its totient is φ = 57675110400.

The previous prime is 225994989893. The next prime is 225994989901. The reversal of 225994989900 is 9989499522.

225994989900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225994989900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225994989901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 510216 + ... + 843984.

Almost surely, 2^225994989900 is an apocalyptic number.

225994989900 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 225994989900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341281160080).

225994989900 is an abundant number, since it is smaller than the sum of its proper divisors (456567330260).

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

225994989900 is a wasteful number, since it uses less digits than its factorization.

225994989900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333884 (or 333877 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 66.

The spelling of 225994989900 in words is "two hundred twenty-five billion, nine hundred ninety-four million, nine hundred eighty-nine thousand, nine hundred".