225816760 has 128 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 78414336.

The previous prime is 225816751. The next prime is 225816781. The reversal of 225816760 is 67618522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944721 + ... + 944959.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^225816760 is an apocalyptic number.

225816760 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 225816760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

225816760 is an abundant number, since it is smaller than the sum of its proper divisors (354791240).

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

225816760 is a wasteful number, since it uses less digits than its factorization.

225816760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 225816760 is about 15027.2006707836. The cubic root of 225816760 is about 608.9552662840.

It can be divided in two parts, 225816 and 760, that added together give a square (226576 = 476²).

The spelling of 225816760 in words is "two hundred twenty-five million, eight hundred sixteen thousand, seven hundred sixty".