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200222222220220 = 225175321649513239
BaseRepresentation
bin101101100001100111011110…
…011011100111101110111100
3222020221001112220221111101011
4231201213132123213232330
5202220420102342021340
61545500452530525004
760113402214111544
oct5541473633475674
9866831486844334
10200222222220220
115888484972a502
121a5584a9136764
138794b4a497195
143762b431b0324
15182338d3da0ea
hexb619de6e7bbc

200222222220220 has 96 divisors (see below), whose sum is σ = 453621836304000. Its totient is φ = 73951995346944.

The previous prime is 200222222220217. The next prime is 200222222220247. The reversal of 200222222220220 is 22022222222002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200222222220191 and 200222222220200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389858361 + ... + 390371599.

It is an arithmetic number, because the mean of its divisors is an integer number (4725227461500).

Almost surely, 2200222222220220 is an apocalyptic number.

200222222220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200222222220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226810918152000).

200222222220220 is an abundant number, since it is smaller than the sum of its proper divisors (253399614083780).

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

200222222220220 is a wasteful number, since it uses less digits than its factorization.

200222222220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534967 (or 534965 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 200222222220220 its reverse (22022222222002), we get a palindrome (222244444442222).

It can be divided in two parts, 2002 and 22222220220, that added together give a palindrome (22222222222).

The spelling of 200222222220220 in words is "two hundred trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 21649 43298 86596 108245 216490 368033 432980 513239 736066 1026478 1147397 1472132 1840165 2052956 2294794 2566195 3680330 4589588 5132390 5736985 7360660 8725063 10264780 11473970 17450126 19505749 22947940 27201667 34900252 39011498 43625315 54403334 78022996 87250630 97528745 108806668 136008335 174501260 195057490 272016670 390114980 462428339 544033340 924856678 1849713356 2312141695 4624283390 9248566780 11111111111 22222222222 44444444444 55555555555 111111111110 188888888887 222222222220 377777777774 588888888883 755555555548 944444444435 1177777777766 1888888888870 2355555555532 2944444444415 3777777777740 5888888888830 10011111111011 11777777777660 20022222222022 40044444444044 50055555555055 100111111110110 200222222220220