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21522823168 = 211711136483
BaseRepresentation
bin10100000010110111…
…000011100000000000
32001112221222200220211
4110002313003200000
5323034320320133
613515404443504
71361232656410
oct240267034000
961487880824
1021522823168
119145088670
124207b49594
13205002b332
14108264a640
1585e7c2bcd
hex502dc3800

21522823168 has 96 divisors (see below), whose sum is σ = 53654590080. Its totient is φ = 8385454080.

The previous prime is 21522823141. The next prime is 21522823171. The reversal of 21522823168 is 86132822512.

It is a self number, because there is not a number n which added to its sum of digits gives 21522823168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89455 + ... + 225937.

It is an arithmetic number, because the mean of its divisors is an integer number (558901980).

Almost surely, 221522823168 is an apocalyptic number.

21522823168 is a gapful number since it is divisible by the number (28) 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 21522823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26827295040).

21522823168 is an abundant number, since it is smaller than the sum of its proper divisors (32131766912).

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

21522823168 is a wasteful number, since it uses less digits than its factorization.

21522823168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136523 (or 136503 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The spelling of 21522823168 in words is "twenty-one billion, five hundred twenty-two million, eight hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4928 5632 7168 9856 11264 14336 19712 22528 39424 78848 136483 157696 272966 545932 955381 1091864 1501313 1910762 2183728 3002626 3821524 4367456 6005252 7643048 8734912 10509191 12010504 15286096 17469824 21018382 24021008 30572192 34939648 42036764 48042016 61144384 69879296 84073528 96084032 122288768 139758592 168147056 192168064 244577536 279517184 336294112 384336128 489155072 672588224 768672256 978310144 1345176448 1537344512 1956620288 2690352896 3074689024 5380705792 10761411584 21522823168