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22001402421306 = 23271153299509957
BaseRepresentation
bin1010000000010100110011…
…10001101010000000111010
32212220022110120012201222200
411000022121301222000322
510340432333004440211
6114443145453531030
74430356155635550
oct500123161520072
985808416181880
1022001402421306
1170128191007a0
1225740291a3a76
13c379532639a9
14560c3308dbd0
15282491035b56
hex140299c6a03a

22001402421306 has 96 divisors (see below), whose sum is σ = 60553725268608. Its totient is φ = 5606826376320.

The previous prime is 22001402421239. The next prime is 22001402421307. The reversal of 22001402421306 is 60312420410022.

22001402421306 is a `hidden beast` number, since 2 + 200 + 1 + 4 + 0 + 2 + 421 + 30 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22001402421306.

It is not an unprimeable number, because it can be changed into a prime (22001402421307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 149681521 + ... + 149828436.

It is an arithmetic number, because the mean of its divisors is an integer number (630767971548).

Almost surely, 222001402421306 is an apocalyptic number.

22001402421306 is an abundant number, since it is smaller than the sum of its proper divisors (38552322847302).

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

22001402421306 is a wasteful number, since it uses less digits than its factorization.

22001402421306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299510036 (or 299510033 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22001402421306 its reverse (60312420410022), we get a palindrome (82313822831328).

The spelling of 22001402421306 in words is "twenty-two trillion, one billion, four hundred two million, four hundred twenty-one thousand, three hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 53 63 66 77 99 106 126 154 159 198 231 318 371 462 477 583 693 742 954 1113 1166 1386 1749 2226 3339 3498 4081 5247 6678 8162 10494 12243 24486 36729 73458 299509957 599019914 898529871 1797059742 2096569699 2695589613 3294609527 4193139398 5391179226 6289709097 6589219054 9883828581 12579418194 15874027721 18869127291 19767657162 23062266689 29651485743 31748055442 37738254582 46124533378 47622083163 59302971486 69186800067 95244166326 111118194047 138373600134 142866249489 174614304931 207560400201 222236388094 285732498978 333354582141 349228609862 415120800402 523842914793 666709164282 1000063746423 1047685829586 1222300134517 1571528744379 2000127492846 2444600269034 3143057488758 3666900403551 7333800807102 11000701210653 22001402421306