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200242325505200 = 245211257917646227
BaseRepresentation
bin101101100001111010001100…
…101011100100010010110000
3222020222222102221211011222112
4231201322030223210102300
5202221232240312131300
61545514015430024452
760115013332162046
oct5541721453442260
9866888387734875
10200242325505200
1158892325494010
121a5603797a8128
138796a02395894
143763acd0a0396
151823b68258e35
hexb61e8cae44b0

200242325505200 has 120 divisors (see below), whose sum is σ = 525020457343680. Its totient is φ = 72787153004800.

The previous prime is 200242325505191. The next prime is 200242325505223. The reversal of 200242325505200 is 2505523242002.

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, 2524487 + ... + 20170713.

It is an arithmetic number, because the mean of its divisors is an integer number (4375170477864).

Almost surely, 2200242325505200 is an apocalyptic number.

200242325505200 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 200242325505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262510228671840).

200242325505200 is an abundant number, since it is smaller than the sum of its proper divisors (324778131838480).

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

200242325505200 is a wasteful number, since it uses less digits than its factorization.

200242325505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17648835 (or 17648824 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 200242325505200 its reverse (2505523242002), we get a palindrome (202747848747202).

The spelling of 200242325505200 in words is "two hundred trillion, two hundred forty-two billion, three hundred twenty-five million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2579 4400 5158 10316 12895 20632 25790 28369 41264 51580 56738 64475 103160 113476 128950 141845 206320 226952 257900 283690 453904 515800 567380 709225 1031600 1134760 1418450 2269520 2836900 5673800 11347600 17646227 35292454 70584908 88231135 141169816 176462270 194108497 282339632 352924540 388216994 441155675 705849080 776433988 882311350 970542485 1411698160 1552867976 1764622700 1941084970 3105735952 3529245400 3882169940 4852712425 7058490800 7764339880 9705424850 15528679760 19410849700 38821699400 45509619433 77643398800 91019238866 182038477732 227548097165 364076955464 455096194330 500605813763 728153910928 910192388660 1001211627526 1137740485825 1820384777320 2002423255052 2275480971650 2503029068815 3640769554640 4004846510104 4550961943300 5006058137630 8009693020208 9101923886600 10012116275260 12515145344075 18203847773200 20024232550520 25030290688150 40048465101040 50060581376300 100121162752600 200242325505200