225909540 has 48 divisors (see below), whose sum is σ = 702831360. Its totient is φ = 60242400.

The previous prime is 225909533. The next prime is 225909547. The reversal of 225909540 is 45909522.

It is a happy number.

225909540 is a `hidden beast` number, since 2 + 25 + 90 + 9 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (225909533) and next prime (225909547).

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 = 225909495 and 225909504.

It is not an unprimeable number, because it can be changed into a prime (225909547) 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, 208636 + ... + 209715.

It is an arithmetic number, because the mean of its divisors is an integer number (14642320).

Almost surely, 2^225909540 is an apocalyptic number.

225909540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225909540 is an abundant number, since it is smaller than the sum of its proper divisors (476921820).

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

225909540 is a wasteful number, since it uses less digits than its factorization.

225909540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418369 (or 418361 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 225909540 is about 15030.2874224015. The cubic root of 225909540 is about 609.0386541507.

The spelling of 225909540 in words is "two hundred twenty-five million, nine hundred nine thousand, five hundred forty".