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22000222012221 = 3229732137263439
BaseRepresentation
bin1010000000010010100110…
…11010110000001100111101
32212220012102022001202010200
411000021103122300030331
510340422423313342341
6114442432405354113
74430315003423625
oct500112332601475
985805368052120
1022000222012221
1170122728659a2
122573959a08939
13c377c583b68b
14560b603bd885
152824225b9db6
hex1402536b033d

22000222012221 has 144 divisors (see below), whose sum is σ = 33778103673600. Its totient is φ = 13780943382528.

The previous prime is 22000222012211. The next prime is 22000222012259. The reversal of 22000222012221 is 12221022200022.

22000222012221 is a `hidden beast` number, since 220 + 0 + 0 + 2 + 220 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 22000222012221 - 227 = 22000087794493 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22000222012194 and 22000222012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000222012211) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 50114400720 + ... + 50114401158.

It is an arithmetic number, because the mean of its divisors is an integer number (234570164400).

Almost surely, 222000222012221 is an apocalyptic number.

It is an amenable number.

22000222012221 is a deficient number, since it is larger than the sum of its proper divisors (11777881661379).

22000222012221 is a wasteful number, since it uses less digits than its factorization.

22000222012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22000222012221 its reverse (12221022200022), we get a palindrome (34221244212243).

The spelling of 22000222012221 in words is "twenty-two trillion, two hundred twenty-two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 29 73 87 137 219 261 263 411 439 657 789 1233 1317 2117 2367 3951 3973 5329 6351 7627 10001 11919 12731 15987 19053 19199 22881 30003 32047 35757 36031 38193 47961 57597 60143 68643 90009 96141 108093 114579 115457 154541 172791 180429 288423 290029 324279 346371 463623 541287 556771 730073 870087 929363 1039113 1044899 1390869 1401527 1670313 1744147 2190219 2339431 2610261 2630263 2788089 3134697 3348253 4204581 4390439 5010939 5232441 6570657 7018293 7890789 8364267 8428361 9404091 10044759 12613743 13171317 15697323 15817609 21054879 21172117 23672367 25285083 30134277 39513951 40644283 47452827 63516351 67843499 75855249 76277627 121932849 127322731 142358481 190549053 192009199 203530497 228832881 244422469 320502047 365798547 381968193 458710661 576027597 610591491 615270353 686498643 733267407 961506141 1145904579 1154685457 1376131983 1728082791 1845811059 2199802221 2884518423 3464056371 4128395949 5537433177 5568266771 9294559363 10392169113 16704800313 17842840237 27883678089 33485878253 50114400939 53528520711 83651034267 84292038361 100457634759 160585562133 252876115083 301372904277 758628345249 2444469112469 7333407337407 22000222012221