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220020222202000 = 24531155191812089
BaseRepresentation
bin110010000001101101110011…
…001100000001000010010000
31001212000201122120201212022121
4302001231303030001002100
5212314302403340431000
62055535521131344024
764225636133250523
oct6201556314010220
91055021576655277
10220020222202000
1164118063577020
12208154872b2014
13959ca82ca92cc
143c4906d888bba
151a6836e433b1a
hexc81b73301090

220020222202000 has 160 divisors (see below), whose sum is σ = 580478821977600. Its totient is φ = 79992812672000.

The previous prime is 220020222201929. The next prime is 220020222202013. The reversal of 220020222202000 is 202222020022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120511956 + ... + 122324044.

It is an arithmetic number, because the mean of its divisors is an integer number (3627992637360).

Almost surely, 2220020222202000 is an apocalyptic number.

220020222202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220020222202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290239410988800).

220020222202000 is an abundant number, since it is smaller than the sum of its proper divisors (360458599775600).

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

220020222202000 is a wasteful number, since it uses less digits than its factorization.

220020222202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817642 (or 1817626 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 220020222202000 its reverse (202222020022), we get a palindrome (220222444222022).

It can be divided in two parts, 2 and 20020222202000, that added together give a palindrome (20020222202002).

The spelling of 220020222202000 in words is "two hundred twenty trillion, twenty billion, two hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 5519 11000 11038 22000 22076 27595 44152 55190 60709 88304 110380 121418 137975 220760 242836 275950 303545 441520 485672 551900 607090 689875 971344 1103800 1214180 1379750 1517725 1812089 2207600 2428360 2759500 3035450 3624178 4856720 5519000 6070900 7248356 7588625 9060445 11038000 12141800 14496712 15177250 18120890 19932979 24283600 28993424 30354500 36241780 39865958 45302225 60709000 72483560 79731916 90604450 99664895 121418000 144967120 159463832 181208900 199329790 226511125 318927664 362417800 398659580 453022250 498324475 724835600 797319160 906044500 996648950 1594638320 1812089000 1993297900 2491622375 3624178000 3986595800 4983244750 7973191600 9966489500 10000919191 19932979000 20001838382 39865958000 40003676764 50004595955 80007353528 100009191910 110010111101 160014707056 200018383820 220020222202 250022979775 400036767640 440040444404 500045959550 550050555505 800073535280 880080888808 1000091919100 1100101111010 1250114898875 1760161777616 2000183838200 2200202222020 2500229797750 2750252777525 4000367676400 4400404444040 5000459595500 5500505555050 8800808888080 10000919191000 11001011110100 13751263887625 20001838382000 22002022220200 27502527775250 44004044440400 55005055550500 110010111101000 220020222202000