225726160 has 80 divisors (see below), whose sum is σ = 576123840. Its totient is φ = 81566720.

The previous prime is 225726157. The next prime is 225726167. The reversal of 225726160 is 61627522.

225726160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225726167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156804 + ... + 158236.

It is an arithmetic number, because the mean of its divisors is an integer number (7201548).

Almost surely, 2^225726160 is an apocalyptic number.

225726160 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 225726160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288061920).

225726160 is an abundant number, since it is smaller than the sum of its proper divisors (350397680).

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

225726160 is a wasteful number, since it uses less digits than its factorization.

225726160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 225726160 is about 15024.1858348464. The cubic root of 225726160 is about 608.8738156908.

The spelling of 225726160 in words is "two hundred twenty-five million, seven hundred twenty-six thousand, one hundred sixty".