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22341143105232 = 2437293863593531
BaseRepresentation
bin1010001010001101100111…
…11001100000111011010000
32221002210101200020200110020
411011012303321200323100
510412014130113331412
6115303213543503440
74464044232046410
oct505066371407320
987083350220406
1022341143105232
11713390993a026
122609a43757b80
13c609b74bcc93
1457346217a640
1528b22755718c
hex1451b3e60ed0

22341143105232 has 160 divisors (see below), whose sum is σ = 68251811604480. Its totient is φ = 6161468167680.

The previous prime is 22341143105191. The next prime is 22341143105263. The reversal of 22341143105232 is 23250134114322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22341143105193 and 22341143105202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37344307 + ... + 37937837.

It is an arithmetic number, because the mean of its divisors is an integer number (426573822528).

Almost surely, 222341143105232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22341143105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34125905802240).

22341143105232 is an abundant number, since it is smaller than the sum of its proper divisors (45910668499248).

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

22341143105232 is a wasteful number, since it uses less digits than its factorization.

22341143105232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597441 (or 597435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 22341143105232 its reverse (23250134114322), we get a palindrome (45591277219554).

The spelling of 22341143105232 in words is "twenty-two trillion, three hundred forty-one billion, one hundred forty-three million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 3863 4872 7726 9744 11589 15452 23178 27041 30904 46356 54082 61808 81123 92712 108164 112027 162246 185424 216328 224054 324492 336081 432656 448108 593531 648984 672162 784189 896216 1187062 1297968 1344324 1568378 1780593 1792432 2352567 2374124 2688648 3136756 3561186 4154717 4705134 4748248 5377296 6273512 7122372 8309434 9410268 9496496 12464151 12547024 14244744 16618868 17212399 18820536 24928302 28489488 33237736 34424798 37641072 49856604 51637197 66475472 68849596 99713208 103274394 120486793 137699192 199426416 206548788 240973586 275398384 361460379 413097576 481947172 722920758 826195152 963894344 1445841516 1927788688 2292810253 2891683032 4585620506 5783366064 6878430759 9171241012 13756861518 16049671771 18342482024 27513723036 32099343542 36684964048 48149015313 55027446072 64198687084 66491497337 96298030626 110054892144 128397374168 132982994674 192596061252 199474492011 256794748336 265965989348 385192122504 398948984022 465440481359 531931978696 770384245008 797897968044 930880962718 1063863957392 1396321444077 1595795936088 1861761925436 2792642888154 3191591872176 3723523850872 5585285776308 7447047701744 11170571552616 22341143105232