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22072082896668 = 22372396711814347
BaseRepresentation
bin1010000010011000011101…
…01010010001011100011100
32220011001220101222220120110
411001030032222101130130
510343112111210143133
6114535435213450020
74435440535030440
oct501141652213434
986131811886513
1022072082896668
11703a799416aa2
122585873aa0910
13c4150867278c
1456441a1da820
1528422b25dc63
hex14130ea9171c

22072082896668 has 96 divisors (see below), whose sum is σ = 61481488932864. Its totient is φ = 6025883548608.

The previous prime is 22072082896657. The next prime is 22072082896729. The reversal of 22072082896668 is 86669828027022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22072082896599 and 22072082896608.

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 31 ways as a sum of consecutive naturals, for example, 4038930 + ... + 7775417.

It is an arithmetic number, because the mean of its divisors is an integer number (640432176384).

Almost surely, 222072082896668 is an apocalyptic number.

22072082896668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22072082896668 is an abundant number, since it is smaller than the sum of its proper divisors (39409406036196).

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

22072082896668 is a wasteful number, since it uses less digits than its factorization.

22072082896668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815351 (or 11815349 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 22072082896668 in words is "twenty-two trillion, seventy-two billion, eighty-two million, eight hundred ninety-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 967 1932 1934 2901 3868 5802 6769 11604 13538 20307 22241 27076 40614 44482 66723 81228 88964 133446 155687 266892 311374 467061 622748 934122 1868244 11814347 23628694 35443041 47257388 70886082 82700429 141772164 165400858 248101287 271729981 330801716 496202574 543459962 815189943 992405148 1086919924 1630379886 1902109867 3260759772 3804219734 5706329601 7608439468 11412659202 11424473549 22825318404 22848947098 34273420647 45697894196 68546841294 79971314843 137093682588 159942629686 239913944529 262762891627 319885259372 479827889058 525525783254 788288674881 959655778116 1051051566508 1576577349762 1839340241389 3153154699524 3678680482778 5518020724167 7357360965556 11036041448334 22072082896668