225340660224 has 240 divisors, whose sum is σ = 677166674184. Its totient is φ = 72076492800.

The previous prime is 225340660213. The next prime is 225340660241. The reversal of 225340660224 is 422066043522.

225340660224 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 40 + 6 + 602 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112605882624 + 112734777600 = 335568^2 + 335760^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11514832 + ... + 11534384.

Almost surely, 2^225340660224 is an apocalyptic number.

225340660224 is a gapful number since it is divisible by the number (24) 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 225340660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338583337092).

225340660224 is an abundant number, since it is smaller than the sum of its proper divisors (451826013960).

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

225340660224 is a wasteful number, since it uses less digits than its factorization.

225340660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19679 (or 19660 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 225340660224 in words is "two hundred twenty-five billion, three hundred forty million, six hundred sixty thousand, two hundred twenty-four".