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22002130110222 = 2337111714900673
BaseRepresentation
bin1010000000010110001010…
…01001100100011100001110
32212220101100021111011112000
411000023011021210130032
510340440330302011342
6114443350010453130
74430413203121563
oct500130511443416
985811307434460
1022002130110222
117013061942199
1225741b0a341a6
13c37a3ac49152
14560ca199486a
152824d4d7744c
hex1402c526470e

22002130110222 has 64 divisors (see below), whose sum is σ = 49624616977920. Its totient is φ = 7224570662400.

The previous prime is 22002130110161. The next prime is 22002130110239. The reversal of 22002130110222 is 22201103120022.

22002130110222 is a `hidden beast` number, since 2 + 200 + 2 + 130 + 110 + 222 = 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 = 22002130110195 and 22002130110204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2039278 + ... + 6939950.

It is an arithmetic number, because the mean of its divisors is an integer number (775384640280).

Almost surely, 222002130110222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002130110222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24812308488960).

22002130110222 is an abundant number, since it is smaller than the sum of its proper divisors (27622486867698).

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

22002130110222 is a wasteful number, since it uses less digits than its factorization.

22002130110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901926 (or 4901920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22002130110222 its reverse (22201103120022), we get a palindrome (44203233230244).

The spelling of 22002130110222 in words is "twenty-two trillion, two billion, one hundred thirty million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1171 1278 1917 2342 3513 3834 7026 10539 21078 31617 63234 83141 166282 249423 498846 748269 1496538 2244807 4489614 4900673 9801346 14702019 29404038 44106057 88212114 132318171 264636342 347947783 695895566 1043843349 2087686698 3131530047 5738688083 6263060094 9394590141 11477376166 17216064249 18789180282 34432128498 51648192747 103296385494 154944578241 309889156482 407446853893 814893707786 1222340561679 2444681123358 3667021685037 7334043370074 11001065055111 22002130110222