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223312224134340 = 2232511404927854767
BaseRepresentation
bin110010110001100111101101…
…110010110010010011000100
31002021200102212212011020021200
4302301213231302302103010
5213232221413334244330
62110540115225542500
765015530043055615
oct6261475562622304
91067612785136250
10223312224134340
1165177200871420
12210674a4044a30
13977b3386203a3
143d2052559dc0c
151ac3ce40bda60
hexcb19edcb24c4

223312224134340 has 144 divisors (see below), whose sum is σ = 739142981740800. Its totient is φ = 54122924528640.

The previous prime is 223312224134299. The next prime is 223312224134347. The reversal of 223312224134340 is 43431422213322.

223312224134340 is a `hidden beast` number, since 2 + 2 + 3 + 31 + 2 + 2 + 241 + 343 + 40 = 666.

223312224134340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223312224134295 and 223312224134304.

It is not an unprimeable number, because it can be changed into a prime (223312224134347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5910364 + ... + 21944403.

It is an arithmetic number, because the mean of its divisors is an integer number (5132937373200).

Almost surely, 2223312224134340 is an apocalyptic number.

223312224134340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223312224134340 is an abundant number, since it is smaller than the sum of its proper divisors (515830757606460).

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

223312224134340 is a wasteful number, since it uses less digits than its factorization.

223312224134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27858842 (or 27858837 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 223312224134340 its reverse (43431422213322), we get a palindrome (266743646347662).

The spelling of 223312224134340 in words is "two hundred twenty-three trillion, three hundred twelve billion, two hundred twenty-four million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4049 8098 12147 16196 20245 24294 36441 40490 44539 48588 60735 72882 80980 89078 121470 133617 145764 178156 182205 222695 242940 267234 364410 400851 445390 534468 668085 728820 801702 890780 1336170 1603404 2004255 2672340 4008510 8017020 27854767 55709534 83564301 111419068 139273835 167128602 250692903 278547670 306402437 334257204 417821505 501385806 557095340 612804874 835643010 919207311 1002771612 1225609748 1253464515 1532012185 1671286020 1838414622 2506929030 2757621933 3064024370 3676829244 4596036555 5013858060 5515243866 6128048740 9192073110 11030487732 13788109665 18384146220 27576219330 55152438660 112783951583 225567903166 338351854749 451135806332 563919757915 676703709498 1015055564247 1127839515830 1240623467413 1353407418996 1691759273745 2030111128494 2255679031660 2481246934826 3383518547490 3721870402239 4060222256988 4962493869652 5075277821235 6203117337065 6767037094980 7443740804478 10150555642470 11165611206717 12406234674130 14887481608956 18609352011195 20301111284940 22331222413434 24812469348260 37218704022390 44662444826868 55828056033585 74437408044780 111656112067170 223312224134340