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199120836 = 2231961103139
BaseRepresentation
bin10111101111001…
…01011111000100
3111212200101102210
423313211133010
5401433331321
631431503420
74635333135
oct1367453704
9455611383
10199120836
11a2442482
1256827b70
133233a0a5
141c633c8c
1512733b76
hexbde57c4

199120836 has 96 divisors (see below), whose sum is σ = 505523200. Its totient is φ = 60808320.

The previous prime is 199120829. The next prime is 199120837. The reversal of 199120836 is 638021991.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199120794 and 199120803.

It is not an unprimeable number, because it can be changed into a prime (199120837) 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 31 ways as a sum of consecutive naturals, for example, 1432455 + ... + 1432593.

Almost surely, 2199120836 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 199120836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252761600).

199120836 is an abundant number, since it is smaller than the sum of its proper divisors (306402364).

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

199120836 is a wasteful number, since it uses less digits than its factorization.

199120836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 199120836 is about 14111.0182481634. The cubic root of 199120836 is about 583.9453919353.

The spelling of 199120836 in words is "one hundred ninety-nine million, one hundred twenty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 103 114 122 139 183 206 228 244 278 309 366 412 417 556 618 732 834 1159 1236 1668 1957 2318 2641 3477 3914 4636 5282 5871 6283 6954 7828 7923 8479 10564 11742 12566 13908 14317 15846 16958 18849 23484 25132 25437 28634 31692 33916 37698 42951 50874 57268 75396 85902 101748 119377 161101 171804 238754 272023 322202 358131 477508 483303 544046 644404 716262 816069 873337 966606 1088092 1432524 1632138 1746674 1933212 2620011 3264276 3493348 5240022 10480044 16593403 33186806 49780209 66373612 99560418 199120836