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22022120012022 = 23213241812321737
BaseRepresentation
bin1010000000111011011001…
…01000111111100011110110
32212222021221102000101122100
411000131230220333203312
510341302300210341042
6114500453335442530
74432021443356634
oct500355450774366
985867842011570
1022022120012022
11702058a6a4299
12257804b526446
13c398a54c9600
14561c3a7ac354
15282ca4c9b24c
hex14076ca3f8f6

22022120012022 has 144 divisors (see below), whose sum is σ = 52936410120048. Its totient is φ = 6609649812480.

The previous prime is 22022120011993. The next prime is 22022120012047. The reversal of 22022120012022 is 22021002122022.

22022120012022 is a `hidden beast` number, since 220 + 221 + 20 + 0 + 1 + 202 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22022120011986 and 22022120012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1013105938 + ... + 1013127674.

It is an arithmetic number, because the mean of its divisors is an integer number (367613959167).

Almost surely, 222022120012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022120012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26468205060024).

22022120012022 is an abundant number, since it is smaller than the sum of its proper divisors (30914290108026).

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

22022120012022 is a wasteful number, since it uses less digits than its factorization.

22022120012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29935 (or 29919 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022120012022 its reverse (22021002122022), we get a palindrome (44043122134044).

The spelling of 22022120012022 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 169 234 246 338 369 507 533 738 1014 1066 1521 1599 3042 3198 4797 6929 8123 9594 13858 16246 20787 21737 24369 41574 43474 48738 62361 65211 73107 105599 124722 130422 146214 195633 211198 282581 316797 333043 391266 565162 633594 666086 847743 891217 950391 999129 1372787 1695486 1782434 1900782 1998258 2543229 2673651 2745574 2997387 3673553 4118361 4329559 5086458 5347302 5994774 7347106 8020953 8236722 8659118 11020659 11585821 12355083 12988677 16041906 22041318 23171642 24710166 25977354 33061977 34757463 38966031 56284267 66123954 69514926 77932062 104272389 112568534 150615673 168852801 176569651 208544778 301231346 337705602 353139302 451847019 506558403 529708953 903694038 1013116806 1059417906 1355541057 1589126859 2295405463 2711082114 3178253718 4590810926 6886216389 7239355691 13772432778 14478711382 20658649167 21718067073 29840271019 41317298334 43436134146 59680542038 65154201219 89520813057 94111623983 130308402438 179041626114 188223247966 268562439171 282334871949 537124878342 564669743898 847004615847 1223451111779 1694009231694 2446902223558 3670353335337 7340706670674 11011060006011 22022120012022