Search a number
-
+
200081970 = 232511219967
BaseRepresentation
bin10111110110100…
…00001000110010
3111221111012212100
423323100020302
5402210110340
631504241230
74646445234
oct1373201062
9457435770
10200081970
11a2a39600
1257010216
13325b56ca
141c804254
1512873830
hexbed0232

200081970 has 144 divisors (see below), whose sum is σ = 602521920. Its totient is φ = 45904320.

The previous prime is 200081941. The next prime is 200081983. The reversal of 200081970 is 79180002.

It is a Curzon 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 71 ways as a sum of consecutive naturals, for example, 206427 + ... + 207393.

It is an arithmetic number, because the mean of its divisors is an integer number (4184180).

Almost surely, 2200081970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200081970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301260960).

200081970 is an abundant number, since it is smaller than the sum of its proper divisors (402439950).

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

200081970 is a wasteful number, since it uses less digits than its factorization.

200081970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 200081970 is about 14145.0334039903. The cubic root of 200081970 is about 584.8834306416.

The spelling of 200081970 in words is "two hundred million, eighty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 121 165 171 190 198 209 242 285 330 342 363 418 495 570 605 627 726 855 967 990 1045 1089 1210 1254 1710 1815 1881 1934 2090 2178 2299 2901 3135 3630 3762 4598 4835 5445 5802 6270 6897 8703 9405 9670 10637 10890 11495 13794 14505 17406 18373 18810 20691 21274 22990 29010 31911 34485 36746 41382 43515 53185 55119 63822 68970 87030 91865 95733 103455 106370 110238 117007 159555 165357 183730 191466 202103 206910 234014 275595 319110 330714 351021 404206 478665 551190 585035 606309 702042 826785 957330 1010515 1053063 1170070 1212618 1653570 1755105 1818927 2021030 2106126 2223133 3031545 3510210 3637854 4446266 5265315 6063090 6669399 9094635 10530630 11115665 13338798 18189270 20008197 22231330 33346995 40016394 66693990 100040985 200081970