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199742166 = 233132389139
BaseRepresentation
bin10111110011111…
…01001011010110
3111220211221202000
423321331023112
5402113222131
631453100130
74643531451
oct1371751326
9456757660
10199742166
11a2827278
1256a87646
13324c6b40
141c756498
1512807ce6
hexbe7d2d6

199742166 has 128 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 57708288.

The previous prime is 199742159. The next prime is 199742177. The reversal of 199742166 is 661247991.

It is a Curzon number.

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, 1436925 + ... + 1437063.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2199742166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199742166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

199742166 is an abundant number, since it is smaller than the sum of its proper divisors (308289834).

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

199742166 is a wasteful number, since it uses less digits than its factorization.

199742166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 199742166 is about 14133.0168753879. The cubic root of 199742166 is about 584.5521358442.

The spelling of 199742166 in words is "one hundred ninety-nine million, seven hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 89 117 138 139 178 207 234 267 278 299 351 414 417 534 598 621 702 801 834 897 1157 1242 1251 1602 1794 1807 2047 2314 2403 2502 2691 3197 3471 3614 3753 4094 4806 5382 5421 6141 6394 6942 7506 8073 9591 10413 10842 12282 12371 16146 16263 18423 19182 20826 24742 26611 28773 31239 32526 36846 37113 41561 48789 53222 55269 57546 62478 74226 79833 83122 86319 97578 110538 111339 124683 159666 160823 172638 222678 239499 249366 284533 321646 334017 374049 478998 482469 569066 668034 718497 748098 853599 964938 1122147 1436994 1447407 1707198 2244294 2560797 2894814 3698929 4342221 5121594 7397858 7682391 8684442 11096787 15364782 22193574 33290361 66580722 99871083 199742166