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202220022120220 = 225133673708757143
BaseRepresentation
bin101101111110101100000100…
…100101011011111100011100
3222112000001020000220200112001
4231332230010211123330130
5203001133101130321340
61554030332400052044
760410625443063116
oct5576540445337434
9875001200820461
10202220022120220
1159485036692625
121a81b718304024
1388ab35cc93520
1437d17037983b6
15185a31817b29a
hexb7eb0495bf1c

202220022120220 has 96 divisors (see below), whose sum is σ = 458594874114048. Its totient is φ = 74459094296832.

The previous prime is 202220022120203. The next prime is 202220022120223. The reversal of 202220022120220 is 22021220022202.

It is a super-2 number, since 2×2022200221202202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202220022120223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3538812969 + ... + 3538870111.

It is an arithmetic number, because the mean of its divisors is an integer number (4777029938688).

Almost surely, 2202220022120220 is an apocalyptic number.

202220022120220 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 202220022120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229297437057024).

202220022120220 is an abundant number, since it is smaller than the sum of its proper divisors (256374851993828).

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

202220022120220 is a wasteful number, since it uses less digits than its factorization.

202220022120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94619 (or 94617 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 202220022120220 its reverse (22021220022202), we get a palindrome (224241242142422).

The spelling of 202220022120220 in words is "two hundred two trillion, two hundred twenty billion, twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 367 734 1468 1835 3670 4771 7340 9542 19084 23855 37087 47710 57143 74174 95420 114286 148348 185435 228572 285715 370870 482131 571430 741740 742859 964262 1142860 1485718 1928524 2410655 2971436 3714295 4821310 7428590 9642620 13610929 14857180 20971481 27221858 41942962 54443716 68054645 83885924 104857405 136109290 176942077 209714810 272218580 272629253 353884154 419429620 545258506 707768308 884710385 1090517012 1363146265 1769420770 2119262441 2726292530 3538841540 4238524882 5452585060 8477049764 10596312205 21192624410 27550411733 42385248820 55100823466 110201646932 137752058665 275504117330 551008234660 777769315847 1555538631694 3111077263388 3888846579235 7777693158470 10111001106011 15555386316940 20222002212022 40444004424044 50555005530055 101110011060110 202220022120220