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200212212212200 = 23523727055704353
BaseRepresentation
bin101101100001011110001001…
…110010011110000111101000
3222020220002201022100101211101
4231201132021302132013220
5202220234102311242300
61545452115345411144
760112566155334646
oct5541361162360750
9866802638311741
10200212212212200
11588805822aa301
121a556574939ab4
138793c136b4606
1437624739a4196
151822ea4701b6a
hexb61789c9e1e8

200212212212200 has 48 divisors (see below), whose sum is σ = 478074295935180. Its totient is φ = 77920428533760.

The previous prime is 200212212212171. The next prime is 200212212212227. The reversal of 200212212212200 is 2212212212002.

200212212212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 46185099505444 + 154027112706756 = 6795962^2 + 12410766^2 .

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, 13527844777 + ... + 13527859576.

Almost surely, 2200212212212200 is an apocalyptic number.

200212212212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212212212200 is an abundant number, since it is smaller than the sum of its proper divisors (277862083722980).

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

200212212212200 is a wasteful number, since it uses less digits than its factorization.

200212212212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27055704406 (or 27055704397 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 200212212212200 its reverse (2212212212002), we get a palindrome (202424424424202).

The spelling of 200212212212200 in words is "two hundred trillion, two hundred twelve billion, two hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 27055704353 54111408706 108222817412 135278521765 216445634824 270557043530 541114087060 676392608825 1001061061061 1082228174120 1352785217650 2002122122122 2705570435300 4004244244244 5005305305305 5411140870600 8008488488488 10010610610610 20021221221220 25026526526525 40042442442440 50053053053050 100106106106100 200212212212200