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22020222200200 = 2352723041738889
BaseRepresentation
bin1010000000110111110111…
…00001011010100110001000
32212222010001010221120020121
411000123323201122212020
510341234403340401300
6114455541143033024
74431623430262600
oct500337341324610
985863033846217
1022020222200200
11701a7a6403174
1225777bba3b774
13c39662280a33
14561ada713c00
15282be337181a
hex1406fb85a988

22020222200200 has 144 divisors (see below), whose sum is σ = 59575378086900. Its totient is φ = 7547297587200.

The previous prime is 22020222200177. The next prime is 22020222200231. The reversal of 22020222200200 is 200222202022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13140668500036 + 8879553700164 = 3625006^2 + 2979858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29432356 + ... + 30171244.

Almost surely, 222020222200200 is an apocalyptic number.

22020222200200 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 22020222200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29787689043450).

22020222200200 is an abundant number, since it is smaller than the sum of its proper divisors (37555155886700).

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

22020222200200 is a wasteful number, since it uses less digits than its factorization.

22020222200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741960 (or 741944 counting only the distinct ones).

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

Adding to 22020222200200 its reverse (200222202022), we get a palindrome (22220444402222).

The spelling of 22020222200200 in words is "twenty-two trillion, twenty billion, two hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3041 4900 6082 9800 12164 15205 21287 24328 30410 42574 60820 76025 85148 106435 121640 149009 152050 170296 212870 298018 304100 425740 532175 596036 608200 738889 745045 851480 1064350 1192072 1477778 1490090 2128700 2955556 2980180 3694445 3725225 4257400 5172223 5911112 5960360 7388890 7450450 10344446 14777780 14900900 18472225 20688892 25861115 29555560 29801800 36205561 36944450 41377784 51722230 72411122 73888900 103444460 129305575 144822244 147777800 181027805 206888920 258611150 289644488 362055610 517222300 724111220 905139025 1034444600 1448222440 1810278050 2246961449 3620556100 4493922898 7241112200 8987845796 11234807245 15728730143 17975691592 22469614490 31457460286 44939228980 56174036225 62914920572 78643650715 89878457960 110101111001 112348072450 125829841144 157287301430 220202222002 224696144900 314574602860 393218253575 440404444004 449392289800 550505555005 629149205720 786436507150 880808888008 1101011110010 1572873014300 2202022220020 2752527775025 3145746028600 4404044440040 5505055550050 11010111100100 22020222200200