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2000212212200 = 2352181289719073
BaseRepresentation
bin11101000110110101111…
…100000011100111101000
321002012220020011100101012
4131012311330003213220
5230232413311242300
64130515041243052
7264340060164356
oct35066574034750
97065806140335
102000212212200
11701315714a74
122837a3033488
13116808506117
146cb4cb307d6
153706b94a435
hex1d1b5f039e8

2000212212200 has 96 divisors (see below), whose sum is σ = 4678046132760. Its totient is φ = 795348172800.

The previous prime is 2000212212179. The next prime is 2000212212217. The reversal of 2000212212200 is 22122120002.

It can be written as a sum of positive squares in 12 ways, for example, as 726289155076 + 1273923057124 = 852226^2 + 1128682^2 .

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, 104861864 + ... + 104880936.

Almost surely, 22000212212200 is an apocalyptic number.

2000212212200 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 2000212212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339023066380).

2000212212200 is an abundant number, since it is smaller than the sum of its proper divisors (2677833920560).

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

2000212212200 is a wasteful number, since it uses less digits than its factorization.

2000212212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22167 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2000212212200 its reverse (22122120002), we get a palindrome (2022334332202).

The spelling of 2000212212200 in words is "two trillion, two hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 2897 3620 4525 5794 7240 9050 11588 14485 18100 19073 23176 28970 36200 38146 57940 72425 76292 95365 115880 144850 152584 190730 289700 381460 476825 524357 579400 762920 953650 1048714 1907300 2097428 2621785 3452213 3814600 4194856 5243570 6904426 10487140 13108925 13808852 17261065 20974280 26217850 27617704 34522130 52435700 55254481 69044260 86305325 104871400 110508962 138088520 172610650 221017924 276272405 345221300 442035848 552544810 690442600 1105089620 1381362025 2210179240 2762724050 5525448100 10001061061 11050896200 20002122122 40004244244 50005305305 80008488488 100010610610 200021221220 250026526525 400042442440 500053053050 1000106106100 2000212212200