225980000 has 60 divisors (see below), whose sum is σ = 555993900. Its totient is φ = 90384000.

The previous prime is 225979973. The next prime is 225980011. The reversal of 225980000 is 89522.

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 9 ways as a sum of consecutive naturals, for example, 14351 + ... + 25649.

It is an arithmetic number, because the mean of its divisors is an integer number (9266565).

Almost surely, 2^225980000 is an apocalyptic number.

225980000 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 225980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277996950).

225980000 is an abundant number, since it is smaller than the sum of its proper divisors (330013900).

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

225980000 is an equidigital number, since it uses as much as digits as its factorization.

225980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11329 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 225980000 is about 15032.6311735504. The cubic root of 225980000 is about 609.1019662222.

The spelling of 225980000 in words is "two hundred twenty-five million, nine hundred eighty thousand".