Search a number
-
+
22020200200020 = 223511210972764891
BaseRepresentation
bin1010000000110111110100…
…01101011111011101010100
32212222002222121112211200010
411000123322031133131110
510341234332222400040
6114455535035320220
74431623042263251
oct500337215373524
985862877484603
1022020200200020
11701a794a47100
1225777b45b0070
13c3965a84a089
14561ad7828428
15282be1477e80
hex1406fa35f754

22020200200020 has 144 divisors (see below), whose sum is σ = 67833064039104. Its totient is φ = 5333362214400.

The previous prime is 22020200200007. The next prime is 22020200200121. The reversal of 22020200200020 is 2000200202022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22020200199969 and 22020200200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6581775 + ... + 9346665.

It is an arithmetic number, because the mean of its divisors is an integer number (471062944716).

Almost surely, 222020200200020 is an apocalyptic number.

22020200200020 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 22020200200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33916532019552).

22020200200020 is an abundant number, since it is smaller than the sum of its proper divisors (45812863839084).

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

22020200200020 is a wasteful number, since it uses less digits than its factorization.

22020200200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766022 (or 2766009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22020200200020 its reverse (2000200202022), we get a palindrome (24020400402042).

The spelling of 22020200200020 in words is "twenty-two trillion, twenty billion, two hundred million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1097 1210 1452 1815 2194 2420 3291 3630 4388 5485 6582 7260 10970 12067 13164 16455 21940 24134 32910 36201 48268 60335 65820 72402 120670 132737 144804 181005 241340 265474 362010 398211 530948 663685 724020 796422 1327370 1592844 1991055 2654740 2764891 3982110 5529782 7964220 8294673 11059564 13824455 16589346 27648910 30413801 33178692 41473365 55297820 60827602 82946730 91241403 121655204 152069005 165893460 182482806 304138010 334551811 364965612 456207015 608276020 669103622 912414030 1003655433 1338207244 1672759055 1824828060 2007310866 3033085427 3345518110 4014621732 5018277165 6066170854 6691036220 9099256281 10036554330 12132341708 15165427135 18198512562 20073108660 30330854270 33363939697 36397025124 45496281405 60661708540 66727879394 90992562810 100091819091 133455758788 166819698485 181985125620 200183638182 333639396970 367003336667 400367276364 500459095455 667278793940 734006673334 1000918190910 1101010010001 1468013346668 1835016683335 2001836381820 2202020020002 3670033366670 4404040040004 5505050050005 7340066733340 11010100100010 22020200200020