225300040 has 96 divisors (see below), whose sum is σ = 598363200. Its totient is φ = 76110720.

The previous prime is 225300013. The next prime is 225300077. The reversal of 225300040 is 40003522.

It is a junction number, because it is equal to n+sod(n) for n = 225299987 and 225300023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138351 + ... + 139969.

It is an arithmetic number, because the mean of its divisors is an integer number (6232950).

Almost surely, 2^225300040 is an apocalyptic number.

225300040 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 225300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299181600).

225300040 is an abundant number, since it is smaller than the sum of its proper divisors (373063160).

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

225300040 is a wasteful number, since it uses less digits than its factorization.

225300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 225300040 is about 15009.9980013323. The cubic root of 225300040 is about 608.4904356034.

Adding to 225300040 its reverse (40003522), we get a palindrome (265303562).

The spelling of 225300040 in words is "two hundred twenty-five million, three hundred thousand, forty".