225991080 has 256 divisors, whose sum is σ = 870912000. Its totient is φ = 51058944.

The previous prime is 225991061. The next prime is 225991091. The reversal of 225991080 is 80199522.

225991080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1262431 + ... + 1262609.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^225991080 is an apocalyptic number.

225991080 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 225991080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

225991080 is an abundant number, since it is smaller than the sum of its proper divisors (644920920).

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

225991080 is a wasteful number, since it uses less digits than its factorization.

225991080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 225991080 is about 15032.9997006585. Note that the first 3 decimals coincide. The cubic root of 225991080 is about 609.1119209963. Note that the first 3 decimals are identical.

It can be divided in two parts, 2259 and 91080, that added together give a palindrome (93339).

The spelling of 225991080 in words is "two hundred twenty-five million, nine hundred ninety-one thousand, eighty".