228530213130240 has 1248 divisors, whose sum is σ = 935469340416000. Its totient is φ = 50498465955840.

The previous prime is 228530213130239. The next prime is 228530213130259. The reversal of 228530213130240 is 42031312035822.

228530213130240 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 302 + 1 + 3 + 1 + 302 + 40 = 666.

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 = 228530213130195 and 228530213130204.

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, 49156851436 + ... + 49156856084.

It is an arithmetic number, because the mean of its divisors is an integer number (749574792000).

Almost surely, 2^{228530213130240} is an apocalyptic number.

228530213130240 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 228530213130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467734670208000).

228530213130240 is an abundant number, since it is smaller than the sum of its proper divisors (706939127285760).

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

228530213130240 is a wasteful number, since it uses less digits than its factorization.

228530213130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 228530213130240 in words is "two hundred twenty-eight trillion, five hundred thirty billion, two hundred thirteen million, one hundred thirty thousand, two hundred forty".