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220202314021140 = 2235111696319668683
BaseRepresentation
bin110010000100010111011000…
…101101001011100100010100
31001212200010122212121200222020
4302010113120231023210110
5212330243314342134030
62100155314015133140
764245043422212643
oct6204273055134424
91055603585550866
10220202314021140
1164188305669950
12208448255141b0
1395b3cb2105b59
143c53bc540135a
151a6ce7a5da510
hexc845d8b4b914

220202314021140 has 96 divisors (see below), whose sum is σ = 672657663638016. Its totient is φ = 53379229453440.

The previous prime is 220202314021091. The next prime is 220202314021141. The reversal of 220202314021140 is 41120413202022.

It is a self number, because there is not a number n which added to its sum of digits gives 220202314021140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202314021141) 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, 1361239 + ... + 21029921.

It is an arithmetic number, because the mean of its divisors is an integer number (7006850662896).

Almost surely, 2220202314021140 is an apocalyptic number.

220202314021140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202314021140 is an abundant number, since it is smaller than the sum of its proper divisors (452455349616876).

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

220202314021140 is a wasteful number, since it uses less digits than its factorization.

220202314021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19685669 (or 19685667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 220202314021140 its reverse (41120413202022), we get a palindrome (261322727223162).

The spelling of 220202314021140 in words is "two hundred twenty trillion, two hundred two billion, three hundred fourteen million, twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 16963 33926 50889 67852 84815 101778 169630 186593 203556 254445 339260 373186 508890 559779 746372 932965 1017780 1119558 1865930 2239116 2798895 3731860 5597790 11195580 19668683 39337366 59006049 78674732 98343415 118012098 196686830 216355513 236024196 295030245 393373660 432711026 590060490 649066539 865422052 1081777565 1180120980 1298133078 2163555130 2596266156 3245332695 4327110260 6490665390 12981330780 333639869729 667279739458 1000919609187 1334559478916 1668199348645 2001839218374 3336398697290 3670038567019 4003678436748 5004598045935 6672797394580 7340077134038 10009196091870 11010115701057 14680154268076 18350192835095 20018392183740 22020231402114 36700385670190 44040462804228 55050578505285 73400771340380 110101157010570 220202314021140