225669005100 has 1620 divisors, whose sum is σ = 968200197888. Its totient is φ = 45265651200.

The previous prime is 225669005087. The next prime is 225669005117. The reversal of 225669005100 is 1500966522.

225669005100 is a `hidden beast` number, since 2 + 2 + 56 + 6 + 90 + 0 + 510 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1776921237 + ... + 1776921363.

Almost surely, 2^225669005100 is an apocalyptic number.

225669005100 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 225669005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484100098944).

225669005100 is an abundant number, since it is smaller than the sum of its proper divisors (742531192788).

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

225669005100 is a wasteful number, since it uses less digits than its factorization.

225669005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 192 counting only the distinct ones).

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

The spelling of 225669005100 in words is "two hundred twenty-five billion, six hundred sixty-nine million, five thousand, one hundred".