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200220120220032 = 27321115800198881
BaseRepresentation
bin101101100001100101100001…
…001001001000000110000000
3222020220212010102122211012100
4231201211201021020012000
5202220401301234020112
61545455504201430400
760113266141314243
oct5541454111100600
9866825112584170
10200220120220032
1158883970155670
121a55800119b400
1387948a3b58aa3
1437629c3d6325a
1518232b8aca2dc
hexb61961248180

200220120220032 has 96 divisors (see below), whose sum is σ = 628531911525960. Its totient is φ = 60672763699200.

The previous prime is 200220120219997. The next prime is 200220120220051. The reversal of 200220120220032 is 230022021022002.

200220120220032 is a `hidden beast` number, since 200 + 220 + 1 + 20 + 220 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 200220120219987 and 200220120220014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7900086769 + ... + 7900112112.

Almost surely, 2200220120220032 is an apocalyptic number.

200220120220032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200220120220032 is an abundant number, since it is smaller than the sum of its proper divisors (428311791305928).

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

200220120220032 is a wasteful number, since it uses less digits than its factorization.

200220120220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15800198912 (or 15800198897 counting only the distinct ones).

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

Adding to 200220120220032 its reverse (230022021022002), we get a palindrome (430242141242034).

The spelling of 200220120220032 in words is "two hundred trillion, two hundred twenty billion, one hundred twenty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 15800198881 31600397762 47400596643 63200795524 94801193286 126401591048 142201789929 173802187691 189602386572 252803182096 284403579858 347604375382 379204773144 505606364192 521406563073 568807159716 695208750764 758409546288 1011212728384 1042813126146 1137614319432 1390417501528 1516819092576 1564219689219 2022425456768 2085626252292 2275228638864 2780835003056 3033638185152 3128439378438 4171252504584 4550457277728 5561670006112 6067276370304 6256878756876 8342505009168 9100914555456 11123340012224 12513757513752 16685010018336 18201829110912 22246680024448 25027515027504 33370020036672 50055030055008 66740040073344 100110060110016 200220120220032