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200222442044224 = 2629734937299329
BaseRepresentation
bin101101100001100111101011…
…100010001011101101000000
3222020221002010020120201012221
4231201213223202023231000
5202220421030130403344
61545500530422300424
760113410523433055
oct5541475342135500
9866832106521187
10200222442044224
1158884951822536
121a55854a887714
138794b83ba2762
143762b6447302c
1518233a285d184
hexb619eb88bb40

200222442044224 has 112 divisors (see below), whose sum is σ = 416733128787600. Its totient is φ = 95315383812096.

The previous prime is 200222442044201. The next prime is 200222442044227. The reversal of 200222442044224 is 422440244222002.

It can be written as a sum of positive squares in 8 ways, for example, as 19600454017600 + 180621988026624 = 4427240^2 + 13439568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200222442044224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200222442044227) 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 15 ways as a sum of consecutive naturals, for example, 668754592 + ... + 669053920.

Almost surely, 2200222442044224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200222442044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208366564393800).

200222442044224 is an abundant number, since it is smaller than the sum of its proper divisors (216510686743376).

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

200222442044224 is a wasteful number, since it uses less digits than its factorization.

200222442044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304380 (or 304370 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 200222442044224 its reverse (422440244222002), we get a palindrome (622662686266226).

The spelling of 200222442044224 in words is "two hundred trillion, two hundred twenty-two billion, four hundred forty-two million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 146 232 292 464 584 928 1168 1856 2117 2336 4234 4672 4937 8468 9874 16936 19748 33872 39496 67744 78992 135488 143173 157984 286346 299329 315968 360401 572692 598658 720802 1145384 1197316 1441604 2290768 2394632 2883208 4581536 4789264 5766416 8680541 9163072 9578528 10451629 11532832 17361082 19157056 20903258 21851017 23065664 34722164 41806516 43702034 69444328 83613032 87404068 138888656 167226064 174808136 277777312 334452128 349616272 555554624 633679493 668904256 699232544 1267358986 1398465088 1477787273 2534717972 2955574546 5069435944 5911149092 10138871888 11822298184 20277743776 23644596368 40555487552 42855830917 47289192736 85711661834 94578385472 107878470929 171423323668 215756941858 342846647336 431513883716 685693294672 863027767432 1371386589344 1726055534864 2742773178688 3128475656941 3452111069728 6256951313882 6904222139456 12513902627764 25027805255528 50055610511056 100111221022112 200222442044224