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22057560648 = 23322327612
BaseRepresentation
bin10100100010101110…
…111010101001001000
32002221020012011211200
4110202232322221020
5330133213420043
614044430024200
71410415112664
oct244256725110
962836164750
1022057560648
119399a10872
124337048060
132106a56846
1410d36858a4
158916ed7d3
hex522bbaa48

22057560648 has 108 divisors (see below), whose sum is σ = 62531683305. Its totient is φ = 7023603840.

The previous prime is 22057560643. The next prime is 22057560649. The reversal of 22057560648 is 84606575022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22057560648 is a `hidden beast` number, since 2 + 20 + 5 + 7 + 560 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12157708644 + 9899852004 = 110262^2 + 99498^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105018.

It is not an unprimeable number, because it can be changed into a prime (22057560643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28984588 + ... + 28985348.

Almost surely, 222057560648 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 22057560648

22057560648 is an abundant number, since it is smaller than the sum of its proper divisors (40474122657).

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

22057560648 is an equidigital number, since it uses as much as digits as its factorization.

22057560648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 22057560648 in words is "twenty-two billion, fifty-seven million, five hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 761 828 1058 1522 1587 1656 2116 2283 3044 3174 4232 4566 4761 6088 6348 6849 9132 9522 12696 13698 17503 18264 19044 27396 35006 38088 52509 54792 70012 105018 140024 157527 210036 315054 402569 420072 579121 630108 805138 1158242 1207707 1260216 1610276 1737363 2316484 2415414 3220552 3474726 3623121 4632968 4830828 5212089 6949452 7246242 9661656 10424178 13319783 13898904 14492484 20848356 26639566 28984968 39959349 41696712 53279132 79918698 106558264 119878047 159837396 239756094 306355009 319674792 479512188 612710018 919065027 959024376 1225420036 1838130054 2450840072 2757195081 3676260108 5514390162 7352520216 11028780324 22057560648