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222200100012 = 223112836539109
BaseRepresentation
bin1100111011110000101…
…0000111010010101100
3210020112111200121120210
43032330022013102230
512120031211200022
6250024411142420
722024216454442
oct3167412072254
9706474617523
10222200100012
11862641889a0
1237092444a10
1317c51761b27
14aa7c66cb92
155ba742ba0c
hex33bc2874ac

222200100012 has 96 divisors (see below), whose sum is σ = 568530466560. Its totient is φ = 66985332480.

The previous prime is 222200099981. The next prime is 222200100013. The reversal of 222200100012 is 210001002222.

222200100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (222200100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24388914 + ... + 24398022.

It is an arithmetic number, because the mean of its divisors is an integer number (5922192360).

Almost surely, 2222200100012 is an apocalyptic number.

222200100012 is a gapful number since it is divisible by the number (22) 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 222200100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284265233280).

222200100012 is an abundant number, since it is smaller than the sum of its proper divisors (346330366548).

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

222200100012 is a wasteful number, since it uses less digits than its factorization.

222200100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222200100012 its reverse (210001002222), we get a palindrome (432201102234).

The spelling of 222200100012 in words is "two hundred twenty-two billion, two hundred million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 653 849 1132 1306 1698 1959 2612 3113 3396 3918 6226 7183 7836 9109 9339 12452 14366 18218 18678 21549 27327 28732 36436 37356 43098 54654 86196 100199 109308 184799 200398 300597 369598 400796 554397 601194 739196 1108794 1202388 2032789 2217588 2577847 4065578 5155694 5948177 6098367 7733541 8131156 10311388 11896354 12196734 15467082 17844531 23792708 24393468 28356317 30934164 35689062 56712634 65429947 71378124 85068951 113425268 130859894 170137902 196289841 261719788 340275804 392579682 785159364 1683334091 3366668182 5050002273 6733336364 10100004546 18516675001 20200009092 37033350002 55550025003 74066700004 111100050006 222200100012