225115243032240 has 480 divisors, whose sum is σ = 825624388442880. Its totient is φ = 54514935552000.

The previous prime is 225115243032223. The next prime is 225115243032293. The reversal of 225115243032240 is 42230342511522.

225115243032240 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 152 + 430 + 32 + 2 + 40 = 666.

225115243032240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 225115243032195 and 225115243032204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52856359231 + ... + 52856363489.

It is an arithmetic number, because the mean of its divisors is an integer number (1720050809256).

Almost surely, 2^{225115243032240} is an apocalyptic number.

225115243032240 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 225115243032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412812194221440).

225115243032240 is an abundant number, since it is smaller than the sum of its proper divisors (600509145410640).

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

225115243032240 is a wasteful number, since it uses less digits than its factorization.

225115243032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 225115243032240 its reverse (42230342511522), we get a palindrome (267345585543762).

The spelling of 225115243032240 in words is "two hundred twenty-five trillion, one hundred fifteen billion, two hundred forty-three million, thirty-two thousand, two hundred forty".