Search a number
-
+
22022210221220 = 22511179416257483
BaseRepresentation
bin1010000000111011100100…
…00001000111010010100100
32212222022011200202111101202
411000131302001013102210
510341302441304034340
6114500510321142032
74432023620213336
oct500356201072244
985868150674352
1022022210221220
117020626608850
12257807578a918
13c398bb0c2831
14561c48771456
15282cacb69c15
hex1407720474a4

22022210221220 has 96 divisors (see below), whose sum is σ = 53475356946816. Its totient is φ = 7529002342400.

The previous prime is 22022210221213. The next prime is 22022210221327. The reversal of 22022210221220 is 2212201222022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22022210221192 and 22022210221201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390599 + ... + 6648081.

It is an arithmetic number, because the mean of its divisors is an integer number (557034968196).

Almost surely, 222022210221220 is an apocalyptic number.

22022210221220 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 22022210221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26737678473408).

22022210221220 is an abundant number, since it is smaller than the sum of its proper divisors (31453146725596).

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

22022210221220 is a wasteful number, since it uses less digits than its factorization.

22022210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258461 (or 6258459 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22022210221220 its reverse (2212201222022), we get a palindrome (24234411443242).

The spelling of 22022210221220 in words is "twenty-two trillion, twenty-two billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 941 1870 1882 3740 3764 4705 9410 10351 15997 18820 20702 31994 41404 51755 63988 79985 103510 159970 175967 207020 319940 351934 703868 879835 1759670 3519340 6257483 12514966 25029932 31287415 62574830 68832313 106377211 125149660 137664626 212754422 275329252 344161565 425508844 531886055 688323130 1063772110 1170149321 1376646260 2127544220 2340298642 4680597284 5850746605 5888291503 11701493210 11776583006 23402986420 23553166012 29441457515 58882915030 64771206533 100100955551 117765830060 129542413066 200201911102 259084826132 323856032665 400403822204 500504777755 647712065330 1001009555510 1101110511061 1295424130660 2002019111020 2202221022122 4404442044244 5505552555305 11011105110610 22022210221220