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230868342315 = 33513196923627
BaseRepresentation
bin1101011100000011010…
…0110101011000101011
3211001220121111221121000
43113000310311120223
512240304243423230
6254020501450043
722452063350052
oct3270064653053
9731817457530
10230868342315
1189a02184706
12388b1410923
1318a035752a0
14b2619a5399
156013424b60
hex35c0d3562b

230868342315 has 64 divisors (see below), whose sum is σ = 465267801600. Its totient is φ = 107676231552.

The previous prime is 230868342293. The next prime is 230868342323. The reversal of 230868342315 is 513243868032.

230868342315 is a `hidden beast` number, since 230 + 8 + 68 + 3 + 42 + 315 = 666.

230868342315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230868342315 - 214 = 230868325931 is a prime.

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

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 63 ways as a sum of consecutive naturals, for example, 3428469 + ... + 3495158.

It is an arithmetic number, because the mean of its divisors is an integer number (7269809400).

Almost surely, 2230868342315 is an apocalyptic number.

230868342315 is an abundant number, since it is smaller than the sum of its proper divisors (234399459285).

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

230868342315 is a wasteful number, since it uses less digits than its factorization.

230868342315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923673 (or 6923667 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 230868342315 in words is "two hundred thirty billion, eight hundred sixty-eight million, three hundred forty-two thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1755 2223 2565 3705 6669 11115 33345 6923627 20770881 34618135 62312643 90007151 103854405 131548913 186937929 270021453 311563215 394646739 450035755 657744565 810064359 934689645 1183940217 1350107265 1710135869 1973233695 2430193077 3551820651 4050321795 5130407607 5919701085 8550679345 12150965385 15391222821 17759103255 25652038035 46173668463 76956114105 230868342315