Search a number
-
+
2000210220200 = 235211321375717
BaseRepresentation
bin11101000110110101110…
…100011101010010101000
321002012220002102010212102
4131012311310131102220
5230232412304021300
64130514530432532
7264340034226653
oct35066564352250
97065802363772
102000210220200
11701314584395
122837a2432748
13116807c8951a
146cb4c77289a
153706b6a50d5
hex1d1b5d1d4a8

2000210220200 has 144 divisors (see below), whose sum is σ = 4727082664980. Its totient is φ = 787077652480.

The previous prime is 2000210220157. The next prime is 2000210220233. The reversal of 2000210220200 is 20220120002.

It can be written as a sum of positive squares in 18 ways, for example, as 847022034244 + 1153188185956 = 920338^2 + 1073866^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349867742 + ... + 349873458.

Almost surely, 22000210220200 is an apocalyptic number.

2000210220200 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 2000210220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363541332490).

2000210220200 is an abundant number, since it is smaller than the sum of its proper divisors (2726872444780).

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

2000210220200 is a wasteful number, since it uses less digits than its factorization.

2000210220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2000210220200 its reverse (20220120002), we get a palindrome (2020430340202).

The spelling of 2000210220200 in words is "two trillion, two hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 137 200 226 274 452 548 565 685 904 1096 1130 1370 2260 2740 2825 3425 4520 5480 5650 5717 6850 11300 11434 12769 13700 15481 22600 22868 25538 27400 28585 30962 45736 51076 57170 61924 63845 77405 102152 114340 123848 127690 142925 154810 228680 255380 285850 309620 319225 387025 510760 571700 619240 638450 646021 774050 783229 1143400 1276900 1292042 1548100 1566458 1749353 2553800 2584084 3096200 3132916 3230105 3498706 3916145 5168168 6265832 6460210 6997412 7832290 8746765 12920420 13994824 15664580 16150525 17493530 19580725 25840840 31329160 32301050 34987060 39161450 43733825 64602100 69974120 73000373 78322900 87467650 88504877 129204200 146000746 156645800 174935300 177009754 292001492 349870600 354019508 365001865 442524385 584002984 708039016 730003730 885048770 1460007460 1770097540 1825009325 2212621925 2920014920 3540195080 3650018650 4425243850 7300037300 8850487700 10001051101 14600074600 17700975400 20002102202 40004204404 50005255505 80008408808 100010511010 200021022020 250026277525 400042044040 500052555050 1000105110100 2000210220200