Search a number
-
+
222764337530460 = 2232511802071402711
BaseRepresentation
bin110010101001101001011101…
…001101010000011001011100
31002012202001200200211222212200
4302221221131031100121130
5213144232330401433320
62105440305054331500
764631122643553225
oct6251513515203134
91065661620758780
10222764337530460
1164a85909099740
1220b99279ab9b90
13973b78253105b
143d01bcc5c224c
151ab4929407290
hexca9a5d35065c

222764337530460 has 144 divisors (see below), whose sum is σ = 737157160276992. Its totient is φ = 54002763964800.

The previous prime is 222764337530443. The next prime is 222764337530461. The reversal of 222764337530460 is 64035733467222.

222764337530460 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 6 + 43 + 3 + 7 + 530 + 4 + 60 = 666.

It is a super-3 number, since 3×2227643375304603 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222764337530397 and 222764337530406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222764337530461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 158108505 + ... + 159511215.

It is an arithmetic number, because the mean of its divisors is an integer number (5119146946368).

Almost surely, 2222764337530460 is an apocalyptic number.

222764337530460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222764337530460 is an abundant number, since it is smaller than the sum of its proper divisors (514392822746532).

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

222764337530460 is a wasteful number, since it uses less digits than its factorization.

222764337530460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482944 (or 1482939 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 54.

The spelling of 222764337530460 in words is "two hundred twenty-two trillion, seven hundred sixty-four billion, three hundred thirty-seven million, five hundred thirty thousand, four hundred sixty".

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 80207 160414 240621 320828 401035 481242 721863 802070 882277 962484 1203105 1402711 1443726 1604140 1764554 2406210 2646831 2805422 2887452 3529108 3609315 4208133 4411385 4812420 5293662 5610844 7013555 7218630 7940493 8416266 8822770 10587324 12624399 13234155 14027110 14437260 15429821 15880986 16832532 17645540 21040665 25248798 26468310 28054220 30859642 31761972 39702465 42081330 46289463 50497596 52936620 61719284 63121995 77149105 79404930 84162660 92578926 126243990 138868389 154298210 158809860 185157852 231447315 252487980 277736778 308596420 462894630 555473556 694341945 925789260 1388683890 2777367780 112507241177 225014482354 337521723531 450028964708 562536205885 675043447062 1012565170593 1125072411770 1237579652947 1350086894124 1687608617655 2025130341186 2250144823540 2475159305894 3375217235310 3712738958841 4050260682372 4950318611788 5062825852965 6187898264735 6750434470620 7425477917682 10125651705930 11138216876523 12375796529470 14850955835364 18563694794205 20251303411860 22276433753046 24751593058940 37127389588410 44552867506092 55691084382615 74254779176820 111382168765230 222764337530460