225713760 has 192 divisors, whose sum is σ = 762048000. Its totient is φ = 55959552.

The previous prime is 225713753. The next prime is 225713779. The reversal of 225713760 is 67317522.

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 31 ways as a sum of consecutive naturals, for example, 1134141 + ... + 1134339.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^225713760 is an apocalyptic number.

225713760 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 225713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

225713760 is an abundant number, since it is smaller than the sum of its proper divisors (536334240).

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

225713760 is a wasteful number, since it uses less digits than its factorization.

225713760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 225713760 is about 15023.7731612268. The cubic root of 225713760 is about 608.8626662320.

The spelling of 225713760 in words is "two hundred twenty-five million, seven hundred thirteen thousand, seven hundred sixty".