225643140 has 72 divisors (see below), whose sum is σ = 696084480. Its totient is φ = 59148864.

The previous prime is 225643129. The next prime is 225643147. The reversal of 225643140 is 41346522.

225643140 is a `hidden beast` number, since 2 + 2 + 5 + 643 + 14 + 0 = 666.

225643140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225643147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4 + ... + 21243.

It is an arithmetic number, because the mean of its divisors is an integer number (9667840).

Almost surely, 2^225643140 is an apocalyptic number.

225643140 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 225643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348042240).

225643140 is an abundant number, since it is smaller than the sum of its proper divisors (470441340).

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

225643140 is a wasteful number, since it uses less digits than its factorization.

225643140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21321 (or 21316 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225643140 is about 15021.4227022609. The cubic root of 225643140 is about 608.7991604794.

Adding to 225643140 its reverse (41346522), we get a palindrome (266989662).

The spelling of 225643140 in words is "two hundred twenty-five million, six hundred forty-three thousand, one hundred forty".