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168590214 = 233133161127
BaseRepresentation
bin10100000110001…
…11101110000110
3102202020021022000
422003013232012
5321124341324
624421250130
74114664442
oct1203075606
9382207260
10168590214
118718a361
1248563946
1328c0a730
1418567822
15ec029c9
hexa0c7b86

168590214 has 128 divisors (see below), whose sum is σ = 426639360. Its totient is φ = 48988800.

The previous prime is 168590189. The next prime is 168590231. The reversal of 168590214 is 412095861.

168590214 is a `hidden beast` number, since 1 + 68 + 590 + 2 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1327419 + ... + 1327545.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 2168590214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168590214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213319680).

168590214 is an abundant number, since it is smaller than the sum of its proper divisors (258049146).

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

168590214 is a wasteful number, since it uses less digits than its factorization.

168590214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 168590214 is about 12984.2294342021. The cubic root of 168590214 is about 552.4302529292.

The spelling of 168590214 in words is "one hundred sixty-eight million, five hundred ninety thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 61 62 78 93 117 122 127 183 186 234 254 279 351 366 381 403 549 558 702 762 793 806 837 1098 1143 1209 1586 1647 1651 1674 1891 2286 2379 2418 3294 3302 3429 3627 3782 3937 4758 4953 5673 6858 7137 7254 7747 7874 9906 10881 11346 11811 14274 14859 15494 17019 21411 21762 23241 23622 24583 29718 34038 35433 42822 44577 46482 49166 51057 51181 69723 70866 73749 89154 100711 102114 102362 106299 139446 147498 153543 201422 209169 212598 221247 240157 302133 307086 418338 442494 460629 480314 604266 663741 720471 906399 921258 1327482 1381887 1440942 1812798 2161413 2719197 2763774 3122041 4322826 5438394 6244082 6484239 9366123 12968478 18732246 28098369 56196738 84295107 168590214