225495900 has 360 divisors, whose sum is σ = 864590496. Its totient is φ = 49766400.

The previous prime is 225495899. The next prime is 225495901. The reversal of 225495900 is 9594522.

It is a happy number.

225495900 is a `hidden beast` number, since 2 + 25 + 49 + 590 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225495899) and next prime (225495901).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225495901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2324652 + ... + 2324748.

Almost surely, 2^225495900 is an apocalyptic number.

225495900 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 225495900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432295248).

225495900 is an abundant number, since it is smaller than the sum of its proper divisors (639094596).

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

225495900 is a wasteful number, since it uses less digits than its factorization.

225495900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

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

The square root of 225495900 is about 15016.5209019932. The cubic root of 225495900 is about 608.6667107875. Note that the first 3 decimals are identical.

The spelling of 225495900 in words is "two hundred twenty-five million, four hundred ninety-five thousand, nine hundred".