225609300 has 360 divisors, whose sum is σ = 877193856. Its totient is φ = 49040640.

The previous prime is 225609283. The next prime is 225609311. The reversal of 225609300 is 3906522.

225609300 is a `hidden beast` number, since 2 + 25 + 609 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1304014 + ... + 1304186.

Almost surely, 2^225609300 is an apocalyptic number.

225609300 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 225609300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438596928).

225609300 is an abundant number, since it is smaller than the sum of its proper divisors (651584556).

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

225609300 is a wasteful number, since it uses less digits than its factorization.

225609300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 225609300 is about 15020.2962687159. The cubic root of 225609300 is about 608.7687248196.

The spelling of 225609300 in words is "two hundred twenty-five million, six hundred nine thousand, three hundred".