225981000 has 384 divisors, whose sum is σ = 928661760. Its totient is φ = 48384000.

The previous prime is 225980987. The next prime is 225981011. The reversal of 225981000 is 189522.

It is a super-2 number, since 2×225981000² = 102134824722000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070895 + ... + 1071105.

It is an arithmetic number, because the mean of its divisors is an integer number (2418390).

Almost surely, 2^225981000 is an apocalyptic number.

225981000 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 225981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464330880).

225981000 is an abundant number, since it is smaller than the sum of its proper divisors (702680760).

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

225981000 is a wasteful number, since it uses less digits than its factorization.

225981000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 225981000 is about 15032.6644344906. The cubic root of 225981000 is about 609.1028646809.

The spelling of 225981000 in words is "two hundred twenty-five million, nine hundred eighty-one thousand".