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199217934 = 23317416779
BaseRepresentation
bin10111101111111…
…01001100001110
3111212212022122000
423313331030032
5401444433214
631433533130
74636216206
oct1367751416
9455768560
10199217934
11a24a9423
12568741a6
1332372346
141c65b406
1512752809
hexbdfd30e

199217934 has 128 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 59304960.

The previous prime is 199217911. The next prime is 199217957. The reversal of 199217934 is 439712991.

It is an interprime number because it is at equal distance from previous prime (199217911) and next prime (199217957).

It is a self number, because there is not a number n which added to its sum of digits gives 199217934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2521707 + ... + 2521785.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2199217934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199217934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

199217934 is an abundant number, since it is smaller than the sum of its proper divisors (294298866).

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

199217934 is a wasteful number, since it uses less digits than its factorization.

199217934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 199217934 is about 14114.4583317958. The cubic root of 199217934 is about 584.0402936325.

The spelling of 199217934 in words is "one hundred ninety-nine million, two hundred seventeen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 67 79 82 102 123 134 153 158 201 237 246 306 369 402 459 474 603 697 711 738 918 1107 1139 1206 1343 1394 1422 1809 2091 2133 2214 2278 2686 2747 3239 3417 3618 4029 4182 4266 5293 5494 6273 6478 6834 8058 8241 9717 10251 10586 12087 12546 15879 16482 18819 19434 20502 24174 24723 29151 30753 31758 36261 37638 46699 47637 49446 55063 58302 61506 72522 74169 87453 89981 93398 95274 110126 140097 142911 148338 165189 174906 179962 217013 269943 280194 285822 330378 420291 434026 495567 539886 651039 809829 840582 991134 1260873 1302078 1486701 1619658 1953117 2429487 2521746 2973402 3689221 3906234 4858974 5859351 7378442 11067663 11718702 22135326 33202989 66405978 99608967 199217934