225309240 has 192 divisors, whose sum is σ = 814544640. Its totient is φ = 53637120.

The previous prime is 225309233. The next prime is 225309247. The reversal of 225309240 is 42903522.

225309240 is a `hidden beast` number, since 2 + 2 + 530 + 92 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (225309233) and next prime (225309247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225309247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144304 + ... + 145856.

It is an arithmetic number, because the mean of its divisors is an integer number (4242420).

Almost surely, 2^225309240 is an apocalyptic number.

225309240 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 225309240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320).

225309240 is an abundant number, since it is smaller than the sum of its proper divisors (589235400).

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

225309240 is a wasteful number, since it uses less digits than its factorization.

225309240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 225309240 is about 15010.3044606031. The cubic root of 225309240 is about 608.4987179452.

The spelling of 225309240 in words is "two hundred twenty-five million, three hundred nine thousand, two hundred forty".