Search a number
-
+
222002122200012 = 2232711731097086927
BaseRepresentation
bin110010011110100011100101…
…101000100001001111001100
31002010001012021121020100022200
4302132203211220201033030
5213044240321240400022
62104054211134441500
764522060354262520
oct6236434550411714
91063035247210280
10222002122200012
1164811631442480
1220a955b9663290
1396b493069871b
143cb6d62519d80
151a9ebb83a2bac
hexc9e8e5a213cc

222002122200012 has 144 divisors (see below), whose sum is σ = 709227203822592. Its totient is φ = 56872986243840.

The previous prime is 222002122200011. The next prime is 222002122200073. The reversal of 222002122200012 is 210002221200222.

222002122200012 is a `hidden beast` number, since 2 + 220 + 0 + 212 + 220 + 0 + 0 + 12 = 666.

It is a super-2 number, since 2×2220021222000122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222002122200011) 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, 548341108 + ... + 548745819.

Almost surely, 2222002122200012 is an apocalyptic number.

222002122200012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222002122200012 is an abundant number, since it is smaller than the sum of its proper divisors (487225081622580).

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

222002122200012 is a wasteful number, since it uses less digits than its factorization.

222002122200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097087028 (or 1097087023 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222002122200012 its reverse (210002221200222), we get a palindrome (432004343400234).

It can be divided in two parts, 22200 and 2122200012, that added together give a palindrome (2122222212).

The spelling of 222002122200012 in words is "two hundred twenty-two trillion, two billion, one hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 73 77 84 99 126 132 146 154 198 219 231 252 292 308 396 438 462 511 657 693 803 876 924 1022 1314 1386 1533 1606 2044 2409 2628 2772 3066 3212 4599 4818 5621 6132 7227 9198 9636 11242 14454 16863 18396 22484 28908 33726 50589 67452 101178 202356 1097086927 2194173854 3291260781 4388347708 6582521562 7679608489 9873782343 12067956197 13165043124 15359216978 19747564686 23038825467 24135912394 30718433956 36203868591 39495129372 46077650934 48271824788 69116476401 72407737182 80087345671 84475693379 92155301868 108611605773 138232952802 144815474364 160174691342 168951386758 217223211546 240262037013 253427080137 276465905604 320349382684 337902773516 434446423092 480524074026 506854160274 560611419697 720786111039 760281240411 880960802381 961048148052 1013708320548 1121222839394 1441572222078 1520562480822 1681834259091 1761921604762 2242445678788 2642882407143 2883144444156 3041124961644 3363668518182 3523843209524 5045502777273 5285764814286 6166725616667 6727337036364 7928647221429 10091005554546 10571529628572 12333451233334 15857294442858 18500176850001 20182011109092 24666902466668 31714588885716 37000353700002 55500530550003 74000707400004 111001061100006 222002122200012