228593530080 has 768 divisors, whose sum is σ = 882680198400. Its totient is φ = 54995189760.

The previous prime is 228593530079. The next prime is 228593530091. The reversal of 228593530080 is 80035395822.

228593530080 is a `hidden beast` number, since 2 + 2 + 8 + 593 + 53 + 0 + 0 + 8 + 0 = 666.

228593530080 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385486264 + ... + 385486856.

It is an arithmetic number, because the mean of its divisors is an integer number (1149323175).

Almost surely, 2^228593530080 is an apocalyptic number.

228593530080 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 228593530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441340099200).

228593530080 is an abundant number, since it is smaller than the sum of its proper divisors (654086668320).

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

228593530080 is a wasteful number, since it uses less digits than its factorization.

228593530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 228593530080 in words is "two hundred twenty-eight billion, five hundred ninety-three million, five hundred thirty thousand, eighty".