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2002215233560 = 2351712759339097
BaseRepresentation
bin11101001000101101010…
…100111110100000011000
321002102001211012101010111
4131020231110332200120
5230301014044433220
64131445513054104
7264440521451653
oct35105524764030
97072054171114
102002215233560
11702153335623
122840619b7334
13116a6749a769
146cc9cb7489a
153713770815a
hex1d22d53e818

2002215233560 has 128 divisors (see below), whose sum is σ = 4815772600320. Its totient is φ = 746559700992.

The previous prime is 2002215233539. The next prime is 2002215233567. The reversal of 2002215233560 is 653325122002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002215233567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51191932 + ... + 51231028.

It is an arithmetic number, because the mean of its divisors is an integer number (37623223440).

Almost surely, 22002215233560 is an apocalyptic number.

2002215233560 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 2002215233560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407886300160).

2002215233560 is an abundant number, since it is smaller than the sum of its proper divisors (2813557366760).

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

2002215233560 is a wasteful number, since it uses less digits than its factorization.

2002215233560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39845 (or 39841 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 2002215233560 in words is "two trillion, two billion, two hundred fifteen million, two hundred thirty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 254 340 508 593 635 680 1016 1186 1270 2159 2372 2540 2965 4318 4744 5080 5930 8636 10081 10795 11860 17272 20162 21590 23720 39097 40324 43180 50405 75311 78194 80648 86360 100810 150622 156388 195485 201620 301244 312776 376555 390970 403240 602488 664649 753110 781940 1280287 1329298 1506220 1563880 2560574 2658596 3012440 3323245 4965319 5121148 5317192 6401435 6646490 9930638 10242296 12802870 13292980 19861276 23184521 24826595 25605740 26585960 39722552 46369042 49653190 51211480 84410423 92738084 99306380 115922605 168820846 185476168 198612760 231845210 337641692 394136857 422052115 463690420 675283384 788273714 844104230 927380840 1576547428 1688208460 1970684285 2944434167 3153094856 3376416920 3941368570 5888868334 7882737140 11777736668 14722170835 15765474280 23555473336 29444341670 50055380839 58888683340 100110761678 117777366680 200221523356 250276904195 400443046712 500553808390 1001107616780 2002215233560