Search a number
-
+
22383084407880 = 2335737720176461
BaseRepresentation
bin1010001011011011101111…
…10010111000110001001000
32221020210122122012121112210
411011231313302320301020
510413211024102023010
6115334351431305120
74500060461201610
oct505556762706110
987223578177483
1022383084407880
11714a681693519
122615ba981b1a0
13c6493c807821
145754c04c3a40
1528c37e6a9b20
hex145b77cb8c48

22383084407880 has 128 divisors (see below), whose sum is σ = 78816112001280. Its totient is φ = 4977859691520.

The previous prime is 22383084407753. The next prime is 22383084407891. The reversal of 22383084407880 is 8870448038322.

It is a super-2 number, since 2×223830844078802 (a number of 28 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 22383084407880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360057151 + ... + 360119310.

It is an arithmetic number, because the mean of its divisors is an integer number (615750875010).

Almost surely, 222383084407880 is an apocalyptic number.

22383084407880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22383084407880 is an abundant number, since it is smaller than the sum of its proper divisors (56433027593400).

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

22383084407880 is a wasteful number, since it uses less digits than its factorization.

22383084407880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720176519 (or 720176515 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 22383084407880 in words is "twenty-two trillion, three hundred eighty-three billion, eighty-four million, four hundred seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 720176461 1440352922 2160529383 2880705844 3600882305 4321058766 5041235227 5761411688 7201764610 8642117532 10082470454 10802646915 14403529220 15123705681 17284235064 20164940908 21605293830 25206176135 26646529057 28807058440 30247411362 40329881816 43210587660 50412352270 53293058114 60494822724 75618528405 79939587171 86421175320 100824704540 106586116228 120989645448 133232645285 151237056810 159879174342 186525703399 201649409080 213172232456 266465290570 302474113620 319758348684 373051406798 399697935855 532930581140 559577110197 604948227240 639516697368 746102813596 799395871710 932628516995 1065861162280 1119154220394 1492205627192 1598791743420 1865257033990 2238308440788 2797885550985 3197583486840 3730514067980 4476616881576 5595771101970 7461028135960 11191542203940 22383084407880