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199683858 = 231141109677
BaseRepresentation
bin10111110011011…
…10111100010010
3111220201222202110
423321232330102
5402104340413
631451530150
74643166453
oct1371567422
9456658673
10199683858
11a2797490
1256a59956
13324a643a
141c73d12a
15127e58c3
hexbe6ef12

199683858 has 64 divisors (see below), whose sum is σ = 451059840. Its totient is φ = 58406400.

The previous prime is 199683851. The next prime is 199683889. The reversal of 199683858 is 858386991.

It is a super-3 number, since 3×1996838583 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199683798 and 199683807.

It is not an unprimeable number, because it can be changed into a prime (199683851) 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, 294616 + ... + 295292.

It is an arithmetic number, because the mean of its divisors is an integer number (7047810).

Almost surely, 2199683858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199683858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225529920).

199683858 is an abundant number, since it is smaller than the sum of its proper divisors (251375982).

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

199683858 is a wasteful number, since it uses less digits than its factorization.

199683858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its digits is 3732480, while the sum is 57.

The square root of 199683858 is about 14130.9538956151. The cubic root of 199683858 is about 584.4952502039.

The spelling of 199683858 in words is "one hundred ninety-nine million, six hundred eighty-three thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 41 66 82 109 123 218 246 327 451 654 677 902 1199 1353 1354 2031 2398 2706 3597 4062 4469 7194 7447 8938 13407 14894 22341 26814 27757 44682 49159 55514 73793 83271 98318 147477 147586 166542 221379 294954 305327 442758 610654 811723 915981 1623446 1831962 2435169 3025513 4870338 6051026 9076539 18153078 33280643 66561286 99841929 199683858