225609100 has 72 divisors (see below), whose sum is σ = 502412288. Its totient is φ = 87912000.

The previous prime is 225609077. The next prime is 225609107. The reversal of 225609100 is 1906522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (225609107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011589 + ... + 1011811.

Almost surely, 2^225609100 is an apocalyptic number.

225609100 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 225609100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251206144).

225609100 is an abundant number, since it is smaller than the sum of its proper divisors (276803188).

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

225609100 is a wasteful number, since it uses less digits than its factorization.

225609100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 225609100 is about 15020.2896110561. The cubic root of 225609100 is about 608.7685449307.

The spelling of 225609100 in words is "two hundred twenty-five million, six hundred nine thousand, one hundred".