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221082444280122 = 23716436959115981
BaseRepresentation
bin110010010001001011000100…
…100011101011000100111010
31001222210021102122222100200120
4302101023010203223010322
5212434203321213430442
62102111512305114110
764365452032036245
oct6221130443530472
91058707378870616
10221082444280122
11644975a1209177
1220967313328936
139648ca6193949
143c8463992c25c
151a85cdd52b4ec
hexc912c48eb13a

221082444280122 has 64 divisors (see below), whose sum is σ = 449158313963520. Its totient is φ = 72532156939200.

The previous prime is 221082444280121. The next prime is 221082444280147.

221082444280122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (221082444280121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906137372 + ... + 1906253352.

It is an arithmetic number, because the mean of its divisors is an integer number (7018098655680).

Almost surely, 2221082444280122 is an apocalyptic number.

221082444280122 is an abundant number, since it is smaller than the sum of its proper divisors (228075869683398).

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

221082444280122 is a wasteful number, since it uses less digits than its factorization.

221082444280122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123659.

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 221082444280122 in words is "two hundred twenty-one trillion, eighty-two billion, four hundred forty-four million, two hundred eighty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 71 142 213 426 643 1286 1929 3858 6959 13918 20877 41754 45653 91306 115981 136959 231962 273918 347943 494089 695886 988178 1482267 2964534 4474637 8234651 8949274 13423911 16469302 24703953 26847822 49407906 74575783 149151566 223727349 317699227 447454698 635398454 807111779 953097681 1614223558 1906195362 2421335337 4842670674 5294880593 10589761186 15884641779 31769283558 57304936309 114609872618 171914808927 343829617854 518972873897 1037945747794 1556918621691 3113837243382 36847074046687 73694148093374 110541222140061 221082444280122