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199136682 = 232195971139
BaseRepresentation
bin10111101111010…
…01010110101010
3111212201012011200
423313221112222
5401434333212
631432105030
74635430263
oct1367512652
9455635150
10199136682
11a2453378
1256835176
1332344374
141c63996a
15127386dc
hexbde95aa

199136682 has 96 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 60510240.

The previous prime is 199136647. The next prime is 199136683. The reversal of 199136682 is 286631991.

It is a happy number.

It is a super-4 number, since 4×1991366824 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (199136683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1432569 + ... + 1432707.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2199136682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199136682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

199136682 is an abundant number, since it is smaller than the sum of its proper divisors (272607318).

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

199136682 is a wasteful number, since it uses less digits than its factorization.

199136682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 199136682 is about 14111.5797131292. The cubic root of 199136682 is about 583.9608816138.

The spelling of 199136682 in words is "one hundred ninety-nine million, one hundred thirty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 59 71 114 118 139 142 171 177 213 278 342 354 417 426 531 639 834 1062 1121 1251 1278 1349 2242 2502 2641 2698 3363 4047 4189 5282 6726 7923 8094 8201 8378 9869 10089 12141 12567 15846 16402 19738 20178 23769 24282 24603 25134 29607 37701 47538 49206 59214 73809 75402 79591 88821 147618 155819 159182 177642 187511 238773 311638 375022 467457 477546 562533 582271 716319 934914 1125066 1164542 1402371 1432638 1687599 1746813 2804742 3375198 3493626 5240439 10480878 11063149 22126298 33189447 66378894 99568341 199136682