225395640 has 96 divisors (see below), whose sum is σ = 739908000. Its totient is φ = 59500800.

The previous prime is 225395609. The next prime is 225395647. The reversal of 225395640 is 46593522.

225395640 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 9 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225395595 and 225395604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225395647) 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, 33261 + ... + 39459.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^225395640 is an apocalyptic number.

225395640 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 225395640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369954000).

225395640 is an abundant number, since it is smaller than the sum of its proper divisors (514512360).

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

225395640 is a wasteful number, since it uses less digits than its factorization.

225395640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 225395640 is about 15013.1822076467. The cubic root of 225395640 is about 608.5764889388.

The spelling of 225395640 in words is "two hundred twenty-five million, three hundred ninety-five thousand, six hundred forty".