Search a number
-
+
200302230221200 = 24523116939541291
BaseRepresentation
bin101101100010110001111111…
…010001111011000110010000
3222021012201001211010001122201
4231202301333101323012100
5202223222431414034300
61550001324012012544
760122233663645612
oct5542617721730620
9867181054101581
10200302230221200
1158905776100868
121a56bab7761154
13879c55b1709b3
14376697302cdb2
1518254c243966a
hexb62c7f47b190

200302230221200 has 120 divisors (see below), whose sum is σ = 497042996823296. Its totient is φ = 77490540864000.

The previous prime is 200302230221179. The next prime is 200302230221227. The reversal of 200302230221200 is 2122032203002.

200302230221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16222555 + ... + 25763845.

Almost surely, 2200302230221200 is an apocalyptic number.

200302230221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200302230221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248521498411648).

200302230221200 is an abundant number, since it is smaller than the sum of its proper divisors (296740766602096).

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

200302230221200 is a wasteful number, since it uses less digits than its factorization.

200302230221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543033 (or 9543022 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 200302230221200 its reverse (2122032203002), we get a palindrome (202424262424202).

The spelling of 200302230221200 in words is "two hundred trillion, three hundred two billion, two hundred thirty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 1693 2480 3100 3386 6200 6772 8465 12400 13544 16930 27088 33860 42325 52483 67720 84650 104966 135440 169300 209932 262415 338600 419864 524830 677200 839728 1049660 1312075 2099320 2624150 4198640 5248300 9541291 10496600 19082582 20993200 38165164 47706455 76330328 95412910 152660656 190825820 238532275 295780021 381651640 477064550 591560042 763303280 954129100 1183120084 1478900105 1908258200 2366240168 2957800210 3816516400 4732480336 5915600420 7394500525 11831200840 14789001050 16153405663 23662401680 29578002100 32306811326 59156004200 64613622652 80767028315 118312008400 129227245304 161534056630 258454490608 323068113260 403835141575 500755575553 646136226520 807670283150 1001511151106 1292272453040 1615340566300 2003022302212 2503777877765 3230681132600 4006044604424 5007555755530 6461362265200 8012089208848 10015111511060 12518889388825 20030223022120 25037778777650 40060446044240 50075557555300 100151115110600 200302230221200