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22221222102222 = 231113101373968581
BaseRepresentation
bin1010000110101110010000…
…00011001100010011001110
32220200022212011201112110020
411003113020003030103032
510403033030324232342
6115132142152323010
74452300412252053
oct503271003142316
986608764645406
1022221222102222
117097a70630580
1225aa7563a3466
13c525b57a45c0
1456b72751902a
152880594a80ec
hex1435c80cc4ce

22221222102222 has 128 divisors (see below), whose sum is σ = 52743925301760. Its totient is φ = 6152448960000.

The previous prime is 22221222102193. The next prime is 22221222102241. The reversal of 22221222102222 is 22220122212222.

It is a junction number, because it is equal to n+sod(n) for n = 22221222102192 and 22221222102201.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 323979972 + ... + 324048552.

It is an arithmetic number, because the mean of its divisors is an integer number (412061916420).

Almost surely, 222221222102222 is an apocalyptic number.

22221222102222 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 22221222102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371962650880).

22221222102222 is an abundant number, since it is smaller than the sum of its proper divisors (30522703199538).

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

22221222102222 is a wasteful number, since it uses less digits than its factorization.

22221222102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72450.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22221222102222 its reverse (22220122212222), we get a palindrome (44441344314444).

The spelling of 22221222102222 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 606 858 1111 1313 2222 2626 3333 3739 3939 6666 7478 7878 11217 14443 22434 28886 41129 43329 48607 68581 82258 86658 97214 123387 137162 145821 205743 246774 291642 377639 411486 534677 754391 755278 891553 1069354 1132917 1508782 1604031 1783106 2263173 2265834 2674659 3208062 4154029 4526346 4909307 5349318 6926681 8308058 9807083 9818614 12462087 13853362 14727921 19614166 20780043 24924174 29421249 29455842 41560086 54002377 58842498 76193491 90046853 108004754 152386982 162007131 180093706 228580473 256424359 270140559 324014262 457160946 512848718 540281118 769273077 990515383 1538546154 1981030766 2820667949 2971546149 3333516667 5641335898 5943092298 6667033334 8462003847 10000550001 16924007694 20001100002 25898860259 36668683337 51797720518 73337366674 77696580777 110006050011 155393161554 220012100022 284887462849 336685183367 569774925698 673370366734 854662388547 1010055550101 1709324777094 2020111100202 3703537017037 7407074034074 11110611051111 22221222102222