225640160 has 48 divisors (see below), whose sum is σ = 535910256. Its totient is φ = 89776128.

The previous prime is 225640147. The next prime is 225640183. The reversal of 225640160 is 61046522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27227 + ... + 34533.

It is an arithmetic number, because the mean of its divisors is an integer number (11164797).

Almost surely, 2^225640160 is an apocalyptic number.

225640160 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 225640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267955128).

225640160 is an abundant number, since it is smaller than the sum of its proper divisors (310270096).

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

225640160 is a wasteful number, since it uses less digits than its factorization.

225640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 225640160 is about 15021.3235102637. The cubic root of 225640160 is about 608.7964803928.

Adding to 225640160 its reverse (61046522), we get a palindrome (286686682).

The spelling of 225640160 in words is "two hundred twenty-five million, six hundred forty thousand, one hundred sixty".