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201222200202200 = 23523154139599479
BaseRepresentation
bin101101110000001010110001…
…110000111001001111011000
3222101110122200002221021210222
4231300022301300321033120
5202333311031222432300
61551544111433255212
760245552463525242
oct5560126160711730
9871418602837728
10201222200202200
115912a946186991
121a69a263864508
138838231023bb8
1437992c6725092
15183e3b7c52785
hexb702b1c393d8

201222200202200 has 96 divisors (see below), whose sum is σ = 482943006336000. Its totient is φ = 77890895913600.

The previous prime is 201222200202047. The next prime is 201222200202209. The reversal of 201222200202200 is 2202002222102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222200202209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335362061 + ... + 335961539.

It is an arithmetic number, because the mean of its divisors is an integer number (5030656316000).

Almost surely, 2201222200202200 is an apocalyptic number.

201222200202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222200202200 is an abundant number, since it is smaller than the sum of its proper divisors (281720806133800).

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

201222200202200 is a wasteful number, since it uses less digits than its factorization.

201222200202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653665 (or 653656 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 201222200202200 its reverse (2202002222102), we get a palindrome (203424202424302).

The spelling of 201222200202200 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 54139 108278 216556 270695 433112 541390 599479 1082780 1198958 1353475 1678309 2165560 2397916 2706950 2997395 3356618 4795832 5413900 5994790 6713236 8391545 10827800 11989580 13426472 14986975 16783090 18583849 23979160 29973950 33566180 37167698 41957725 59947900 67132360 74335396 83915450 92919245 119895800 148670792 167830900 185838490 335661800 371676980 464596225 743353960 929192450 1858384900 3716769800 32455193581 64910387162 129820774324 162275967905 259641548648 324551935810 649103871620 811379839525 1006111001011 1298207743240 1622759679050 2012222002022 3245519358100 4024444004044 5030555005055 6491038716200 8048888008088 10061110010110 20122220020220 25152775025275 40244440040440 50305550050550 100611100101100 201222200202200