Search a number
-
+
220202212110020 = 22574196493975827
BaseRepresentation
bin110010000100010111010010…
…101000011010111011000100
31001212200010101202212002012022
4302010113102220122323010
5212330243112300010040
62100155255534542312
764245041044040660
oct6204272250327304
91055603352762168
10220202212110020
1164188263092588
12208447b7367998
1395b3c96c7350a
143c53bb5a738a0
151a6ce716a96b5
hexc845d2a1aec4

220202212110020 has 96 divisors (see below), whose sum is σ = 541431437702400. Its totient is φ = 73648836956160.

The previous prime is 220202212110017. The next prime is 220202212110031. The reversal of 220202212110020 is 20011212202022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53397347 + ... + 57373173.

It is an arithmetic number, because the mean of its divisors is an integer number (5639910809400).

Almost surely, 2220202212110020 is an apocalyptic number.

220202212110020 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 220202212110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270715718851200).

220202212110020 is an abundant number, since it is smaller than the sum of its proper divisors (321229225592380).

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

220202212110020 is a wasteful number, since it uses less digits than its factorization.

220202212110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985533 (or 3985531 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220202212110020 its reverse (20011212202022), we get a palindrome (240213424312042).

The spelling of 220202212110020 in words is "two hundred twenty trillion, two hundred two billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 9649 19298 38596 48245 67543 96490 135086 192980 270172 337715 395609 675430 791218 1350860 1582436 1978045 2769263 3956090 3975827 5538526 7912180 7951654 11077052 13846315 15903308 19879135 27692630 27830789 39758270 55385260 55661578 79516540 111323156 139153945 163008907 278307890 326017814 556615780 652035628 815044535 1141062349 1630089070 2282124698 3260178140 4564249396 5705311745 11410623490 22821246980 38362754723 76725509446 153451018892 191813773615 268539283061 383627547230 537078566122 767255094460 1074157132244 1342696415305 1572872943643 2685392830610 3145745887286 5370785661220 6291491774572 7864364718215 11010110605501 15728729436430 22020221211002 31457458872860 44040442422004 55050553027505 110101106055010 220202212110020