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200201300220222 = 2327317249132203
BaseRepresentation
bin101101100001010011111111…
…011000100001100100111110
3222020212001112211111202220100
4231201103333120201210332
5202220044230324021342
61545443112503501530
760112031565050160
oct5541237730414476
9866761484452810
10200201300220222
1158876992812214
121a55442a4578a6
138792b94a92322
143761b1a682930
151822a66748e4c
hexb614ff62193e

200201300220222 has 144 divisors (see below), whose sum is σ = 498333639952512. Its totient is φ = 56902031444160.

The previous prime is 200201300220221. The next prime is 200201300220281. The reversal of 200201300220222 is 222022003102002.

200201300220222 is a `hidden beast` number, since 20 + 0 + 201 + 3 + 0 + 0 + 220 + 222 = 666.

It is a super-2 number, since 2×2002013002202222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200201300220195 and 200201300220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201300220221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6216836373 + ... + 6216868575.

It is an arithmetic number, because the mean of its divisors is an integer number (3460650277448).

Almost surely, 2200201300220222 is an apocalyptic number.

200201300220222 is an abundant number, since it is smaller than the sum of its proper divisors (298132339732290).

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

200201300220222 is a wasteful number, since it uses less digits than its factorization.

200201300220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33343 (or 33023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200201300220222 its reverse (222022003102002), we get a palindrome (422223303322224).

The spelling of 200201300220222 in words is "two hundred trillion, two hundred one billion, three hundred million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 317 491 634 951 982 1473 1902 2219 2853 2946 3437 4419 4438 5706 6657 6874 8838 10311 13314 19971 20622 30933 32203 39942 61866 64406 96609 100489 155647 193218 200978 225421 289827 301467 311294 450842 466941 579654 602934 676263 703423 904401 933882 1089529 1352526 1400823 1406846 1808802 2028789 2110269 2179058 2801646 3268587 4057578 4220538 6330807 6537174 9805761 10208351 12661614 15811673 19611522 20416702 30625053 31623346 47435019 49340099 61250106 71458457 91875159 94870038 98680198 110681711 142305057 142916914 148020297 183750318 214375371 221363422 284610114 296040594 332045133 345380693 428750742 444060891 643126113 664090266 690761386 888121782 996135399 1036142079 1286252226 1992270798 2072284158 3108426237 3236047267 5012300341 6216852474 6472094534 9708141801 10024600682 15036901023 19416283602 22652330869 29124425403 30073802046 35086102387 45110703069 45304661738 58248850806 67956992607 70172204774 90221406138 105258307161 135913985214 203870977821 210516614322 315774921483 407741955642 631549842966 1588899208097 3177798416194 4766697624291 9533395248582 11122294456679 14300092872873 22244588913358 28600185745746 33366883370037 66733766740074 100100650110111 200201300220222