225159900 has 324 divisors, whose sum is σ = 820213128. Its totient is φ = 47523840.

The previous prime is 225159889. The next prime is 225159919. The reversal of 225159900 is 9951522.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4248274 + ... + 4248326.

It is an arithmetic number, because the mean of its divisors is an integer number (2531522).

Almost surely, 2^225159900 is an apocalyptic number.

225159900 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 225159900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410106564).

225159900 is an abundant number, since it is smaller than the sum of its proper divisors (595053228).

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

225159900 is a wasteful number, since it uses less digits than its factorization.

225159900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 225159900 is about 15005.3290533730. The cubic root of 225159900 is about 608.3642460470.

The spelling of 225159900 in words is "two hundred twenty-five million, one hundred fifty-nine thousand, nine hundred".