Search a number
-
+
22020221102022 = 232111316352483831
BaseRepresentation
bin1010000000110111110110…
…11101001110011111000110
32212222010001001212202211100
411000123323131032133012
510341234403100231042
6114455541103320530
74431623415040113
oct500337335163706
985863031782740
1022020221102022
11701a7a5823090
1225777bb5b0146
13c39661c87c20
14561ada50990a
15282be320624c
hex1406fb74e7c6

22020221102022 has 96 divisors (see below), whose sum is σ = 56395347031296. Its totient is φ = 6121713931200.

The previous prime is 22020221101969. The next prime is 22020221102027. The reversal of 22020221102022 is 22020112202022.

22020221102022 is a `hidden beast` number, since 220 + 20 + 221 + 1 + 0 + 202 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22020221101986 and 22020221102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020221102027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25822354 + ... + 26661477.

It is an arithmetic number, because the mean of its divisors is an integer number (587451531576).

Almost surely, 222020221102022 is an apocalyptic number.

22020221102022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22020221102022 is an abundant number, since it is smaller than the sum of its proper divisors (34375125929274).

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

22020221102022 is a wasteful number, since it uses less digits than its factorization.

22020221102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52484026 (or 52484023 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22020221102022 its reverse (22020112202022), we get a palindrome (44040333304044).

The spelling of 22020221102022 in words is "twenty-two trillion, twenty billion, two hundred twenty-one million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 163 198 234 286 326 429 489 858 978 1287 1467 1793 2119 2574 2934 3586 4238 5379 6357 10758 12714 16137 19071 23309 32274 38142 46618 69927 139854 209781 419562 52483831 104967662 157451493 314902986 472354479 577322141 682289803 944708958 1154644282 1364579606 1731966423 2046869409 3463932846 4093738818 5195899269 6140608227 7505187833 8554864453 10391798538 12281216454 15010375666 17109728906 22515563499 25664593359 45031126998 51329186718 67546690497 76993780077 94103508983 111213237889 135093380994 153987560154 188207017966 222426475778 282310526949 333639713667 564621053898 667279427334 846931580847 1000919141001 1223345616779 1693863161694 2001838282002 2446691233558 3670036850337 7340073700674 11010110551011 22020221102022