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22081110016 = 2167127379
BaseRepresentation
bin10100100100001000…
…110000000000000000
32002222212111121111111
4110210020300000000
5330210231010031
614051030453104
71411122224020
oct244410600000
962885447444
1022081110016
119401235859
124342b04194
13210b8b0694
1410d6855a80
158938011b1
hex524230000

22081110016 has 136 divisors (see below), whose sum is σ = 51002347520. Its totient is φ = 9364045824.

The previous prime is 22081110013. The next prime is 22081110043. The reversal of 22081110016 is 61001118022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22081110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58261315 + ... + 58261693.

Almost surely, 222081110016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22081110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25501173760).

22081110016 is an abundant number, since it is smaller than the sum of its proper divisors (28921237504).

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

22081110016 is an frugal number, since it uses more digits than its factorization.

22081110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 22081110016 its reverse (61001118022), we get a palindrome (83082228038).

The spelling of 22081110016 in words is "twenty-two billion, eighty-one million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 256 379 448 508 512 758 889 896 1016 1024 1516 1778 1792 2032 2048 2653 3032 3556 3584 4064 4096 5306 6064 7112 7168 8128 8192 10612 12128 14224 14336 16256 16384 21224 24256 28448 28672 32512 32768 42448 48133 48512 56896 57344 65024 65536 84896 96266 97024 113792 114688 130048 169792 192532 194048 227584 229376 260096 336931 339584 385064 388096 455168 458752 520192 673862 679168 770128 776192 910336 1040384 1347724 1358336 1540256 1552384 1820672 2080768 2695448 2716672 3080512 3104768 3641344 4161536 5390896 5433344 6161024 6209536 7282688 8323072 10781792 10866688 12322048 12419072 14565376 21563584 21733376 24644096 24838144 29130752 43127168 43466752 49288192 58261504 86254336 86933504 98576384 172508672 173867008 197152768 345017344 394305536 690034688 788611072 1380069376 1577222144 2760138752 3154444288 5520277504 11040555008 22081110016