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220020020330022 = 232118314699910817
BaseRepresentation
bin110010000001101101100111…
…001001111011111000100110
31001212000201010111212201000200
4302001231213021323320212
5212314302000201030042
62055535445120451330
764225631132335503
oct6201554711737046
91055021114781020
10220020020330022
1164117a6a625680
122081542b779b46
13959ca50217c33
143c49050b3a4aa
151a6835b859c4c
hexc81b6727be26

220020020330022 has 96 divisors (see below), whose sum is σ = 526349335075200. Its totient is φ = 65864893954560.

The previous prime is 220020020330021. The next prime is 220020020330063. The reversal of 220020020330022 is 220033020020022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220020020329977 and 220020020330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020020330021) 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, 241107958 + ... + 242018774.

It is an arithmetic number, because the mean of its divisors is an integer number (5482805573700).

Almost surely, 2220020020330022 is an apocalyptic number.

220020020330022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220020020330022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263174667537600).

220020020330022 is an abundant number, since it is smaller than the sum of its proper divisors (306329314745178).

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

220020020330022 is a wasteful number, since it uses less digits than its factorization.

220020020330022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925618 (or 925615 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 220020020330022 its reverse (220033020020022), we get a palindrome (440053040350044).

The spelling of 220020020330022 in words is "two hundred twenty trillion, twenty billion, twenty million, three hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2739 5478 8217 14699 16434 29398 44097 88194 132291 161689 264582 323378 485067 910817 970134 1220017 1455201 1821634 2440034 2732451 2910402 3660051 5464902 7320102 8197353 10018987 10980153 13420187 16394706 20037974 21960306 26840374 30056961 40260561 60113922 75597811 80521122 90170883 120781683 151195622 180341766 226793433 241563366 453586866 680380299 831575921 1360760598 1663151842 2494727763 4989455526 7484183289 13388099083 14968366578 26776198166 40164297249 80328594498 120492891747 147269089913 240985783494 294538179826 441807269739 883614539478 1111212223889 1325421809217 2222424447778 2650843618434 3333636671667 6667273343334 10000910015001 12223334462779 20001820030002 24446668925558 36670003388337 73340006776674 110010010165011 220020020330022