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199259928 = 233272913633
BaseRepresentation
bin10111110000001…
…11011100011000
3111212221110020100
423320013130120
5402002304203
631434455400
74636452510
oct1370073430
9455843210
10199259928
11a2527a2a
1256894560
13323884aa
141c66c840
151275eea3
hexbe07718

199259928 has 96 divisors (see below), whose sum is σ = 638071200. Its totient is φ = 54964224.

The previous prime is 199259917. The next prime is 199259939. The reversal of 199259928 is 829952991.

199259928 is digitally balanced in base 2, 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 (199259917) and next prime (199259939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7800 + ... + 21432.

It is an arithmetic number, because the mean of its divisors is an integer number (6646575).

Almost surely, 2199259928 is an apocalyptic number.

199259928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199259928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319035600).

199259928 is an abundant number, since it is smaller than the sum of its proper divisors (438811272).

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

199259928 is a wasteful number, since it uses less digits than its factorization.

199259928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13681 (or 13674 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 199259928 is about 14115.9458769152. The cubic root of 199259928 is about 584.0813281995.

The spelling of 199259928 in words is "one hundred ninety-nine million, two hundred fifty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 13633 14616 27266 40899 54532 81798 95431 109064 122697 163596 190862 245394 286293 327192 381724 395357 490788 572586 763448 790714 858879 981576 1145172 1186071 1581428 1717758 2290344 2372142 2767499 3162856 3435516 3558213 4744284 5534998 6871032 7116426 8302497 9488568 11069996 14232852 16604994 22139992 24907491 28465704 33209988 49814982 66419976 99629964 199259928