Search a number
-
+
22133656320 = 283519303367
BaseRepresentation
bin10100100111010001…
…001100101100000000
32010010112101020110220
4110213101030230000
5330312204000240
614100145023040
71412330655156
oct244721145400
963115336426
1022133656320
119428965656
124358624a80
13211974aa79
1410dd8133d6
158982305d0
hex52744cb00

22133656320 has 144 divisors (see below), whose sum is σ = 74410103040. Its totient is φ = 5591642112.

The previous prime is 22133656319. The next prime is 22133656331. The reversal of 22133656320 is 2365633122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78724 + ... + 224643.

Almost surely, 222133656320 is an apocalyptic number.

22133656320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133656320 is an abundant number, since it is smaller than the sum of its proper divisors (52276446720).

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

22133656320 is a wasteful number, since it uses less digits than its factorization.

22133656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303410 (or 303396 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 22133656320 in words is "twenty-two billion, one hundred thirty-three million, six hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14592 18240 24320 36480 72960 303367 606734 910101 1213468 1516835 1820202 2426936 3033670 3640404 4550505 4853872 5763973 6067340 7280808 9101010 9707744 11527946 12134680 14561616 17291919 18202020 19415488 23055892 24269360 28819865 29123232 34583838 36404040 38830976 46111784 48538720 57639730 58246464 69167676 72808080 77661952 86459595 92223568 97077440 115279460 116492928 138335352 145616160 172919190 184447136 194154880 230558920 232985856 276670704 291232320 345838380 368894272 388309760 461117840 553341408 582464640 691676760 737788544 922235680 1106682816 1164929280 1383353520 1475577088 1844471360 2213365632 2766707040 3688942720 4426731264 5533414080 7377885440 11066828160 22133656320