Search a number
-
+
22340579090850 = 23252194360765889
BaseRepresentation
bin1010001010001100100100…
…10001111110000110100010
32221002201221100221210011200
411011012102101332012202
510412012001221401400
6115303041555022030
74464024243025536
oct505062221760642
987081840853150
1022340579090850
11713364a52a739
12260990689a916
13c609276b3967
1457340b2bdbc6
1528b1e2c96b00
hex14519247e1a2

22340579090850 has 144 divisors (see below), whose sum is σ = 64650045688800. Its totient is φ = 5512681359360.

The previous prime is 22340579090849. The next prime is 22340579090881. The reversal of 22340579090850 is 5809097504322.

22340579090850 is a `hidden beast` number, since 2 + 2 + 3 + 405 + 79 + 0 + 90 + 85 + 0 = 666.

It is a super-2 number, since 2×223405790908502 (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 30015295 + ... + 30750594.

Almost surely, 222340579090850 is an apocalyptic number.

22340579090850 is an abundant number, since it is smaller than the sum of its proper divisors (42309466597950).

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

22340579090850 is a wasteful number, since it uses less digits than its factorization.

22340579090850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60765969 (or 60765961 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 22340579090850 in words is "twenty-two trillion, three hundred forty billion, five hundred seventy-nine million, ninety thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 43 45 50 57 75 86 90 95 114 129 150 171 190 215 225 258 285 342 387 430 450 475 570 645 774 817 855 950 1075 1290 1425 1634 1710 1935 2150 2451 2850 3225 3870 4085 4275 4902 6450 7353 8170 8550 9675 12255 14706 19350 20425 24510 36765 40850 61275 73530 122550 183825 367650 60765889 121531778 182297667 303829445 364595334 546893001 607658890 911488335 1093786002 1154551891 1519147225 1822976670 2309103782 2612933227 2734465005 3038294450 3463655673 4557441675 5225866454 5468930010 5772759455 6927311346 7838799681 9114883350 10390967019 11545518910 13064666135 13672325025 15677599362 17318278365 20781934038 23516399043 26129332270 27344650050 28863797275 34636556730 39193998405 47032798086 49645731313 51954835095 57727594550 65323330675 78387996810 86591391825 99291462626 103909670190 117581995215 130646661350 148937193939 173182783650 195969992025 235163990430 248228656565 259774175475 297874387878 391939984050 446811581817 496457313130 519548350950 587909976075 744685969695 893623163634 1175819952150 1241143282825 1489371939390 2234057909085 2482286565650 3723429848475 4468115818170 7446859696950 11170289545425 22340579090850