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199983942 = 232232916657
BaseRepresentation
bin10111110101110…
…00001101000110
3111221022020101200
423322320031012
5402143441232
631502203330
74645556364
oct1372701506
9457266350
10199983942
11a2981994
1256b83546
133257cbc2
141c7ba634
151285477c
hexbeb8346

199983942 has 48 divisors (see below), whose sum is σ = 467756640. Its totient is φ = 61560576.

The previous prime is 199983941. The next prime is 199983943. The reversal of 199983942 is 249389991.

199983942 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199983941) and next prime (199983943).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199983941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3678 + ... + 20334.

It is an arithmetic number, because the mean of its divisors is an integer number (9744930).

Almost surely, 2199983942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199983942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233878320).

199983942 is an abundant number, since it is smaller than the sum of its proper divisors (267772698).

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

199983942 is a wasteful number, since it uses less digits than its factorization.

199983942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16717 (or 16714 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 199983942 is about 14141.5678763000. The cubic root of 199983942 is about 584.7878959314.

The spelling of 199983942 in words is "one hundred ninety-nine million, nine hundred eighty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 12006 16657 33314 49971 99942 149913 299826 383111 483053 766222 966106 1149333 1449159 2298666 2898318 3447999 4347477 6895998 8694954 11110219 22220438 33330657 66661314 99991971 199983942