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22011222210020 = 22517397163070249
BaseRepresentation
bin1010000000100111000110…
…00101001011010111100100
32212221020210220212200200222
411000103203011023113210
510341112440341210040
6114451452122023512
74431154414522301
oct500234305132744
985836726780628
1022011222210020
1170169a811935a
122575b09947b98
13c38859805064
145614c53020a8
15282868197bb5
hex1404e314b5e4

22011222210020 has 48 divisors (see below), whose sum is σ = 49065881382000. Its totient is φ = 8265704730624.

The previous prime is 22011222210011. The next prime is 22011222210049. The reversal of 22011222210020 is 2001222211022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1474029097216 + 20537193112804 = 1214096^2 + 4531798^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 81400145 + ... + 81670104.

It is an arithmetic number, because the mean of its divisors is an integer number (1022205862125).

Almost surely, 222011222210020 is an apocalyptic number.

22011222210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011222210020 is an abundant number, since it is smaller than the sum of its proper divisors (27054659171980).

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

22011222210020 is a wasteful number, since it uses less digits than its factorization.

22011222210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163070672 (or 163070670 counting only the distinct ones).

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

Adding to 22011222210020 its reverse (2001222211022), we get a palindrome (24012444421042).

The spelling of 22011222210020 in words is "twenty-two trillion, eleven billion, two hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 794 1588 1985 3970 6749 7940 13498 26996 33745 67490 134980 163070249 326140498 652280996 815351245 1630702490 2772194233 3261404980 5544388466 11088776932 13860971165 27721942330 55443884660 64738888853 129477777706 258955555412 323694444265 647388888530 1100561110501 1294777777060 2201122221002 4402244442004 5502805552505 11005611105010 22011222210020