Search a number
-
+
208839114 = 23311592101
BaseRepresentation
bin11000111001010…
…10000111001010
3112112222010102000
430130222013022
5411430322424
632420051430
75114050251
oct1434520712
9475863360
10208839114
11a797aa10
1259b33b76
1334360653
141da43798
15135033c9
hexc72a1ca

208839114 has 96 divisors (see below), whose sum is σ = 520102080. Its totient is φ = 61596000.

The previous prime is 208839097. The next prime is 208839139. The reversal of 208839114 is 411938802.

208839114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2088391142 = 87227551072609992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067664 + ... + 2067764.

It is an arithmetic number, because the mean of its divisors is an integer number (5417730).

Almost surely, 2208839114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208839114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260051040).

208839114 is an abundant number, since it is smaller than the sum of its proper divisors (311262966).

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

208839114 is a wasteful number, since it uses less digits than its factorization.

208839114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 208839114 is about 14451.2668648807. The cubic root of 208839114 is about 593.2948984768.

The spelling of 208839114 in words is "two hundred eight million, eight hundred thirty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 101 118 177 198 202 297 303 354 531 594 606 649 909 1062 1111 1298 1593 1818 1947 2222 2727 3186 3333 3481 3894 5454 5841 5959 6666 6962 9999 10443 11682 11918 17523 17877 19998 20886 29997 31329 35046 35754 38291 53631 59994 62658 65549 76582 93987 107262 114873 131098 160893 187974 196647 229746 321786 344619 351581 393294 589941 689238 703162 1033857 1054743 1179882 1769823 2067714 2109486 3164229 3539646 3867391 6328458 7734782 9492687 11602173 18985374 23204346 34806519 69613038 104419557 208839114