225413340 has 96 divisors (see below), whose sum is σ = 693342720. Its totient is φ = 54464256.

The previous prime is 225413329. The next prime is 225413351. The reversal of 225413340 is 43314522.

225413340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225413329) and next prime (225413351).

It is a super-2 number, since 2×225413340² = 101622347699911200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225413340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21922 + ... + 30518.

It is an arithmetic number, because the mean of its divisors is an integer number (7222320).

Almost surely, 2^225413340 is an apocalyptic number.

225413340 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 225413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346671360).

225413340 is an abundant number, since it is smaller than the sum of its proper divisors (467929380).

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

225413340 is a wasteful number, since it uses less digits than its factorization.

225413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 225413340 is about 15013.7716780295. The cubic root of 225413340 is about 608.5924187380.

Adding to 225413340 its reverse (43314522), we get a palindrome (268727862).

The spelling of 225413340 in words is "two hundred twenty-five million, four hundred thirteen thousand, three hundred forty".