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20334000200 = 23521493531933
BaseRepresentation
bin10010111100000000…
…000011100001001000
31221111010000020101112
4102330000003201020
5313121001001300
613201420105452
71316616102263
oct227400034110
957433006345
1020334000200
118695016348
123b35995288
131bc094b3a7
14dac7c9cda
157e0243e35
hex4bc003848

20334000200 has 96 divisors (see below), whose sum is σ = 47753361000. Its totient is φ = 8051957760.

The previous prime is 20334000163. The next prime is 20334000229. The reversal of 20334000200 is 200043302.

It can be written as a sum of positive squares in 12 ways, for example, as 123965956 + 20210034244 = 11134^2 + 142162^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10518434 + ... + 10520366.

Almost surely, 220334000200 is an apocalyptic number.

20334000200 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 20334000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876680500).

20334000200 is an abundant number, since it is smaller than the sum of its proper divisors (27419360800).

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

20334000200 is a wasteful number, since it uses less digits than its factorization.

20334000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 20334000200 its reverse (200043302), we get a palindrome (20534043502).

The spelling of 20334000200 in words is "twenty billion, three hundred thirty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 353 596 706 745 1192 1412 1490 1765 1933 2824 2980 3530 3725 3866 5960 7060 7450 7732 8825 9665 14120 14900 15464 17650 19330 29800 35300 38660 48325 52597 70600 77320 96650 105194 193300 210388 262985 288017 386600 420776 525970 576034 682349 1051940 1152068 1314925 1364698 1440085 2103880 2304136 2629850 2729396 2880170 3411745 5259700 5458792 5760340 6823490 7200425 10519400 11520680 13646980 14400850 17058725 27293960 28801700 34117450 57603400 68234900 101670001 136469800 203340002 406680004 508350005 813360008 1016700010 2033400020 2541750025 4066800040 5083500050 10167000100 20334000200