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230728372112160 = 2532513181199342187
BaseRepresentation
bin110100011101100010100010…
…101010001100101100100000
31010020221102020221221211212100
4310131202202222030230200
5220220223201230042120
62134415052330530400
766412401102555516
oct6435424252145440
91106842227854770
10230728372112160
1167576397a8787a
1221a64854b96a00
139b98790bb18c0
1440d945444a4b6
151ba1b93b8c490
hexd1d8a2a8cb20

230728372112160 has 576 divisors, whose sum is σ = 856898429587200. Its totient is φ = 56196905656320.

The previous prime is 230728372112101. The next prime is 230728372112233. The reversal of 230728372112160 is 61211273827032.

230728372112160 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 2 + 8 + 372 + 112 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 674104587 + ... + 674446773.

It is an arithmetic number, because the mean of its divisors is an integer number (1487670884700).

Almost surely, 2230728372112160 is an apocalyptic number.

230728372112160 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 230728372112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428449214793600).

230728372112160 is an abundant number, since it is smaller than the sum of its proper divisors (626170057475040).

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

230728372112160 is a wasteful number, since it uses less digits than its factorization.

230728372112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342601 (or 342590 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 230728372112160 in words is "two hundred thirty trillion, seven hundred twenty-eight billion, three hundred seventy-two million, one hundred twelve thousand, one hundred sixty".