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22322324004234 = 231712723920273557
BaseRepresentation
bin1010001001101010100100…
…01100010101110110001010
32221000222211010210022002120
411010311102030111312022
510411212104421113414
6115250422321112110
74462506666244632
oct504652214256612
987028733708076
1022322324004234
117126931a5a9a1
122606271188636
13c5bca867c667
14572598a516c2
1528a9c53022a9
hex144d52315d8a

22322324004234 has 128 divisors (see below), whose sum is σ = 47879417364480. Its totient is φ = 6913511248896.

The previous prime is 22322324004203. The next prime is 22322324004247. The reversal of 22322324004234 is 43240042322322.

It is a super-3 number, since 3×223223240042343 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22322324004195 and 22322324004204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6275602384 + ... + 6275605940.

It is an arithmetic number, because the mean of its divisors is an integer number (374057948160).

Almost surely, 222322324004234 is an apocalyptic number.

22322324004234 is an abundant number, since it is smaller than the sum of its proper divisors (25557093360246).

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

22322324004234 is a wasteful number, since it uses less digits than its factorization.

22322324004234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972.

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 22322324004234 its reverse (43240042322322), we get a palindrome (65562366326556).

The spelling of 22322324004234 in words is "twenty-two trillion, three hundred twenty-two billion, three hundred twenty-four million, four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 127 239 254 381 478 717 762 1434 2027 2159 3557 4054 4063 4318 6081 6477 7114 8126 10671 12162 12189 12954 21342 24378 30353 34459 60469 60706 68918 91059 103377 120938 181407 182118 206754 257429 362814 451739 484453 514858 516001 772287 850123 903478 968906 1032002 1355217 1453359 1544574 1548003 1700246 2550369 2710434 2906718 3096006 4376293 5100738 7210039 7679563 8235701 8752586 13128879 14420078 14452091 15359126 16471402 21630117 23038689 24707103 26257758 28904182 43260234 43356273 46077378 49414206 61525531 86712546 107965621 122570663 123051062 184576593 215931242 245141326 323896863 367711989 369153186 647793726 735423978 915674953 1045934027 1723199321 1831349906 1835415557 2091868054 2747024859 3137802081 3446398642 3670831114 5169597963 5494049718 5506246671 6275604162 10339195926 11012493342 15566474201 29294388457 31132948402 46699422603 58588776914 87883165371 93398845206 175766330742 218846313767 437692627534 656538941301 1313077882602 3720387334039 7440774668078 11161162002117 22322324004234