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222123214312242 = 231923336145975483
BaseRepresentation
bin110010100000010100010111…
…010010010001001100110010
31002010110202211201102000011020
4302200110113102101030302
5213103231320330442432
62104225555043000310
764533605214246555
oct6240242722211462
91063422751360136
10222123214312242
1164858a20814691
1220ab4b73069096
1396c318ac01439
143cbcb6c90a69c
151aa2e0418222c
hexca0517491332

222123214312242 has 128 divisors (see below), whose sum is σ = 488299866531840. Its totient is φ = 67047642224640.

The previous prime is 222123214312211. The next prime is 222123214312267. The reversal of 222123214312242 is 242213412321222.

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, 40511252833 + ... + 40511258315.

It is an arithmetic number, because the mean of its divisors is an integer number (3814842707280).

Almost surely, 2222123214312242 is an apocalyptic number.

222123214312242 is an abundant number, since it is smaller than the sum of its proper divisors (266176652219598).

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

222123214312242 is a wasteful number, since it uses less digits than its factorization.

222123214312242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13488.

The product of its digits is 36864, while the sum is 33.

Adding to 222123214312242 its reverse (242213412321222), we get a palindrome (464336626633464).

The spelling of 222123214312242 in words is "two hundred twenty-two trillion, one hundred twenty-three billion, two hundred fourteen million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 437 874 1311 2622 3361 4597 5483 6722 9194 10083 10966 13791 16449 20166 27582 32898 63859 77303 87343 104177 105731 126109 127718 154606 174686 191577 208354 211462 231909 252218 262029 312531 317193 378327 383154 463818 524058 625062 634386 756654 1468757 2008889 2396071 2937514 4017778 4406271 4792142 6026667 7188213 8812542 12053334 14376426 15450517 18428363 25205351 30901034 36856726 46351551 50410702 55285089 75616053 92703102 110570178 151232106 293559823 350138897 355361891 423852349 478901669 579723073 587119646 700277794 710723782 847704698 880679469 957803338 1050416691 1066085673 1159446146 1271557047 1436705007 1739169219 1761358938 2100833382 2132171346 2543114094 2873410014 3478338438 6751875929 8053194631 11014738387 13503751858 16106389262 20255627787 22029476774 24159583893 33044215161 40511255574 48319167786 66088430322 84715184711 169430369422 254145554133 508291108266 1609588509509 1948449248353 3219177019018 3896898496706 4828765528527 5845347745059 9657531057054 11690695490118 37020535718707 74041071437414 111061607156121 222123214312242