225389700900 has 720 divisors, whose sum is σ = 952178806656. Its totient is φ = 44754923520.

The previous prime is 225389700881. The next prime is 225389700911. The reversal of 225389700900 is 9007983522.

225389700900 is a `hidden beast` number, since 22 + 538 + 9 + 7 + 0 + 0 + 90 + 0 = 666.

225389700900 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 (45).

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 239 ways as a sum of consecutive naturals, for example, 12521707 + ... + 12539693.

Almost surely, 2^225389700900 is an apocalyptic number.

225389700900 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 225389700900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476089403328).

225389700900 is an abundant number, since it is smaller than the sum of its proper divisors (726789105756).

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

225389700900 is a wasteful number, since it uses less digits than its factorization.

225389700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18050 (or 18034 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 225389700900 in words is "two hundred twenty-five billion, three hundred eighty-nine million, seven hundred thousand, nine hundred".