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199832196 = 223194121377
BaseRepresentation
bin10111110100100…
…11001010000100
3111221000112020110
423322103022010
5402124112241
631455033020
74644355104
oct1372231204
9457015213
10199832196
11a2888983
1256b0b770
1332528b05
141c77b204
1512824816
hexbe93284

199832196 has 48 divisors (see below), whose sum is σ = 502810560. Its totient is φ = 61562880.

The previous prime is 199832179. The next prime is 199832197. The reversal of 199832196 is 691238991.

It is not an unprimeable number, because it can be changed into a prime (199832197) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1341 + ... + 20036.

It is an arithmetic number, because the mean of its divisors is an integer number (10475220).

Almost surely, 2199832196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199832196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251405280).

199832196 is an abundant number, since it is smaller than the sum of its proper divisors (302978364).

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

199832196 is a wasteful number, since it uses less digits than its factorization.

199832196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444 (or 21442 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 199832196 is about 14136.2016114655. The cubic root of 199832196 is about 584.6399479220.

It can be divided in two parts, 199832 and 196, that added together give a triangular number (200028 = T632).

The spelling of 199832196 in words is "one hundred ninety-nine million, eight hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1558 2337 3116 4674 9348 21377 42754 64131 85508 128262 256524 406163 812326 876457 1218489 1624652 1752914 2436978 2629371 3505828 4873956 5258742 10517484 16652683 33305366 49958049 66610732 99916098 199832196