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200164050 = 232521941571
BaseRepresentation
bin10111110111001…
…00001011010010
3111221122101110100
423323210023102
5402220222200
631510113230
74650236442
oct1373441322
9457571410
10200164050
11a2a95239
125704b816
1332613b88
141c826122
151288cd00
hexbee42d2

200164050 has 144 divisors (see below), whose sum is σ = 580900320. Its totient is φ = 49248000.

The previous prime is 200164039. The next prime is 200164051. The reversal of 200164050 is 50461002.

It is a happy number.

200164050 is a `hidden beast` number, since 20 + 0 + 1 + 640 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200164051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350265 + ... + 350835.

It is an arithmetic number, because the mean of its divisors is an integer number (4034030).

Almost surely, 2200164050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200164050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290450160).

200164050 is an abundant number, since it is smaller than the sum of its proper divisors (380736270).

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

200164050 is a wasteful number, since it uses less digits than its factorization.

200164050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 200164050 is about 14147.9344782198. The cubic root of 200164050 is about 584.9633989812.

The spelling of 200164050 in words is "two hundred million, one hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 41 45 50 57 75 82 90 95 114 123 150 171 190 205 225 246 285 342 369 410 450 475 570 571 615 738 779 855 950 1025 1142 1230 1425 1558 1710 1713 1845 2050 2337 2850 2855 3075 3426 3690 3895 4275 4674 5139 5710 6150 7011 7790 8550 8565 9225 10278 10849 11685 14022 14275 17130 18450 19475 21698 23370 23411 25695 28550 32547 35055 38950 42825 46822 51390 54245 58425 65094 70110 70233 85650 97641 108490 116850 117055 128475 140466 162735 175275 195282 210699 234110 256950 271225 325470 350550 351165 421398 444809 488205 542450 585275 702330 813675 889618 976410 1053495 1170550 1334427 1627350 1755825 2106990 2224045 2441025 2668854 3511650 4003281 4448090 4882050 5267475 6672135 8006562 10534950 11120225 13344270 20016405 22240450 33360675 40032810 66721350 100082025 200164050