225581760 has 196 divisors, whose sum is σ = 806214288. Its totient is φ = 60092928.

The previous prime is 225581729. The next prime is 225581773. The reversal of 225581760 is 67185522.

It is a happy number.

225581760 is a `hidden beast` number, since 2 + 2 + 5 + 581 + 76 + 0 = 666.

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 27 ways as a sum of consecutive naturals, for example, 232797 + ... + 233763.

Almost surely, 2^225581760 is an apocalyptic number.

225581760 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 225581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403107144).

225581760 is an abundant number, since it is smaller than the sum of its proper divisors (580632528).

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

225581760 is an frugal number, since it uses more digits than its factorization.

225581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225581760 is about 15019.3794811903. The cubic root of 225581760 is about 608.7439531266.

The spelling of 225581760 in words is "two hundred twenty-five million, five hundred eighty-one thousand, seven hundred sixty".