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22010122220226 = 23717232275904329
BaseRepresentation
bin1010000000100101000011…
…00001000011001011000010
32212221010222021001102101020
411000102201201003023002
510341103212242021401
6114451151025250310
74431115230001050
oct500224141031302
985833867042336
1022010122220226
117016493210788
122575861493996
13c38712958c1a
1456141d1a71d0
15282801814d36
hex1404a18432c2

22010122220226 has 128 divisors (see below), whose sum is σ = 55829077217280. Its totient is φ = 5636413212672.

The previous prime is 22010122220179. The next prime is 22010122220227. The reversal of 22010122220226 is 62202222101022.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22010122220196 and 22010122220205.

It is not an unprimeable number, because it can be changed into a prime (22010122220227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 775630 + ... + 6679958.

It is an arithmetic number, because the mean of its divisors is an integer number (436164665760).

Almost surely, 222010122220226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010122220226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27914538608640).

22010122220226 is an abundant number, since it is smaller than the sum of its proper divisors (33818954997054).

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

22010122220226 is a wasteful number, since it uses less digits than its factorization.

22010122220226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904608.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22010122220226 its reverse (62202222101022), we get a palindrome (84212344321248).

The spelling of 22010122220226 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 227 238 322 357 391 454 483 681 714 782 966 1173 1362 1589 2346 2737 3178 3859 4767 5221 5474 7718 8211 9534 10442 11577 15663 16422 23154 27013 31326 36547 54026 73094 81039 88757 109641 162078 177514 219282 266271 532542 621299 1242598 1863897 3727794 5904329 11808658 17712987 35425974 41330303 82660606 100373593 123990909 135799567 200747186 247981818 271599134 301120779 407398701 602241558 702615151 814797402 950596969 1340282683 1405230302 1901193938 2107845453 2308592639 2680565366 2851790907 4020848049 4215690906 4617185278 5703581814 6925777917 8041696098 9381978781 13851555834 16160148473 18763957562 22784805611 28145936343 30826501709 32320296946 45569611222 48480445419 56291872686 61653003418 68354416833 92479505127 96960890838 136708833666 159493639277 184959010254 215785511963 318987278554 431571023926 478480917831 524050529053 647356535889 956961835662 1048101058106 1294713071778 1572151587159 3144303174318 3668353703371 7336707406742 11005061110113 22010122220226