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200220020222112 = 253211565991116641
BaseRepresentation
bin101101100001100101011011…
…001011101010100010100000
3222020220211212110111101211200
4231201211123023222202200
5202220401100134101422
61545455450230241200
760113263515331152
oct5541453313524240
9866824773441750
10200220020222112
1158883919765760
121a557b937b6200
138794889216217
1437629b4972ad2
1518232aee262ac
hexb6195b2ea8a0

200220020222112 has 144 divisors (see below), whose sum is σ = 621148638801600. Its totient is φ = 60671607091200.

The previous prime is 200220020222087. The next prime is 200220020222113. The reversal of 200220020222112 is 211222020022002.

200220020222112 is a `hidden beast` number, since 20 + 0 + 220 + 0 + 202 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (200220020222113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178747312 + ... + 179863952.

It is an arithmetic number, because the mean of its divisors is an integer number (4313532213900).

Almost surely, 2200220020222112 is an apocalyptic number.

200220020222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200220020222112 is an abundant number, since it is smaller than the sum of its proper divisors (420928618579488).

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

200220020222112 is a wasteful number, since it uses less digits than its factorization.

200220020222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173267 (or 1173256 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200220020222112 its reverse (211222020022002), we get a palindrome (411442040244114).

The spelling of 200220020222112 in words is "two hundred trillion, two hundred twenty billion, twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 56599 113198 169797 226396 339594 452792 509391 622589 679188 905584 1018782 1116641 1245178 1358376 1811168 1867767 2037564 2233282 2490356 2716752 3349923 3735534 4075128 4466564 4980712 5433504 5603301 6699846 7471068 8150256 8933128 9961424 10049769 11206602 12283051 13399692 14942136 16300512 17866256 19922848 20099538 22413204 24566102 26799384 29884272 35732512 36849153 40199076 44826408 49132204 53598768 59768544 73698306 80398152 89652816 98264408 107197536 110547459 147396612 160796304 179305632 196528816 221094918 294793224 321592608 393057632 442189836 589586448 884379672 1179172896 1768759344 3537518688 63200763959 126401527918 189602291877 252803055836 379204583754 505606111672 568806875631 695208403549 758409167508 1011212223344 1137613751262 1390416807098 1516818335016 2022424446688 2085625210647 2275227502524 2780833614196 3033636670032 4171250421294 4550455005048 5561667228392 6067273340064 6256875631941 8342500842588 9100910010096 11123334456784 12513751263882 16685001685176 18201820020192 22246668913568 25027502527764 33370003370352 50055005055528 66740006740704 100110010111056 200220020222112