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22221012110022 = 232112211394312263
BaseRepresentation
bin1010000110101101110111…
…00010001000101011000110
32220200022022112120211022100
411003112323202020223012
510403032113100010042
6115132105251412530
74452262252326645
oct503267342105306
986608275524270
1022221012110022
117097973043300
1225aa6b7bb4146
13c5258112c16b
1456b70769535c
15288045d2824c
hex1435bb888ac6

22221012110022 has 144 divisors (see below), whose sum is σ = 53188918159104. Its totient is φ = 6699481034400.

The previous prime is 22221012110009. The next prime is 22221012110051. The reversal of 22221012110022 is 22001121012222.

It is a happy number.

22221012110022 is a `hidden beast` number, since 222 + 210 + 1 + 211 + 0 + 0 + 22 = 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 = 22221012109977 and 22221012110004.

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, 1812031063 + ... + 1812043325.

It is an arithmetic number, because the mean of its divisors is an integer number (369367487216).

Almost surely, 222221012110022 is an apocalyptic number.

22221012110022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221012110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26594459079552).

22221012110022 is an abundant number, since it is smaller than the sum of its proper divisors (30967906049082).

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

22221012110022 is a wasteful number, since it uses less digits than its factorization.

22221012110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16447 (or 16433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221012110022 its reverse (22001121012222), we get a palindrome (44222133122244).

The spelling of 22221012110022 in words is "twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 211 242 363 422 633 726 1089 1266 1899 2178 2321 3798 3943 4642 6963 7886 11829 12263 13926 20889 23658 24526 25531 35487 36789 41778 43373 51062 70974 73578 76593 86746 110367 130119 134893 153186 220734 229779 260238 269786 390357 404679 459558 477103 780714 809358 831973 954206 1214037 1431309 1483823 1663946 2428074 2495919 2587493 2862618 2967646 4293927 4451469 4991838 5174986 7487757 7762479 8587854 8902938 9151703 13354407 14975514 15524958 18303406 23287437 26708814 27455109 28462423 46574874 48353009 54910218 56924846 82365327 85387269 96706018 100668733 145059027 164730654 170774538 201337466 256161807 290118054 302006199 313086653 435177081 512323614 531883099 604012398 626173306 870354162 906018597 939259959 1063766198 1595649297 1812037194 1878519918 2817779877 3191298594 4786947891 5635559754 5850714089 9573895782 10202484899 11701428178 17552142267 20404969798 30607454697 35104284534 52656426801 61214909394 91822364091 105312853602 112227333889 183644728182 224454667778 336682001667 673364003334 1010046005001 1234500672779 2020092010002 2469001345558 3703502018337 7407004036674 11110506055011 22221012110022