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22024004342120 = 23511227297174219
BaseRepresentation
bin1010000000111110111001…
…11101001001000101101000
32212222110210201201021120222
411000133130331021011220
510341320130102421440
6114501404331305212
74432116234043454
oct500373475110550
985873721637528
1022024004342120
1170213673173a0
1225784965ab208
13c39b15a04931
14561d78b57664
15282d654112b5
hex1407dcf49168

22024004342120 has 128 divisors (see below), whose sum is σ = 54316072281600. Its totient is φ = 7970656953600.

The previous prime is 22024004342099. The next prime is 22024004342161. The reversal of 22024004342120 is 2124340042022.

It is a super-2 number, since 2×220240043421202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22024004342120.

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, 296706371 + ... + 296780589.

It is an arithmetic number, because the mean of its divisors is an integer number (424344314700).

Almost surely, 222024004342120 is an apocalyptic number.

22024004342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22024004342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158036140800).

22024004342120 is an abundant number, since it is smaller than the sum of its proper divisors (32292067939480).

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

22024004342120 is a wasteful number, since it uses less digits than its factorization.

22024004342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77439 (or 77435 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 22024004342120 its reverse (2124340042022), we get a palindrome (24148344384142).

The spelling of 22024004342120 in words is "twenty-two trillion, twenty-four billion, four million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 227 440 454 908 1135 1816 2270 2497 2971 4540 4994 5942 9080 9988 11884 12485 14855 19976 23768 24970 29710 32681 49940 59420 65362 74219 99880 118840 130724 148438 163405 261448 296876 326810 371095 593752 653620 674417 742190 816409 1307240 1348834 1484380 1632818 2697668 2968760 3265636 3372085 4082045 5395336 6531272 6744170 7418587 8164090 13488340 14837174 16328180 16847713 26976680 29674348 32656360 33695426 37092935 59348696 67390852 74185870 84238565 134781704 148371740 168477130 185324843 220504649 296743480 336954260 370649686 441009298 673908520 741299372 882018596 926624215 1102523245 1482598744 1764037192 1853248430 2205046490 2425551139 3706496860 4410092980 4851102278 7412993720 8820185960 9702204556 12127755695 19404409112 24255511390 48511022780 50054555323 97022045560 100109110646 200218221292 250272776615 400436442584 500545553230 550600108553 1001091106460 1101200217106 2002182212920 2202400434212 2753000542765 4404800868424 5506001085530 11012002171060 22024004342120