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22055040288 = 253429172
BaseRepresentation
bin10100100010100101…
…010011010100100000
32002221001110010120000
4110202211103110200
5330132042242123
614044300020000
71410354515001
oct244245232440
962831403500
1022055040288
11939854a226
124336231600
1321063835c8
1410d31cb1a8
158913a1b43
hex522953520

22055040288 has 90 divisors (see below), whose sum is σ = 64885504761. Its totient is φ = 7349159808.

The previous prime is 22055040277. The next prime is 22055040311. The reversal of 22055040288 is 88204055022.

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.

22055040288 is a `hidden beast` number, since 2 + 20 + 550 + 4 + 0 + 2 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11843533584 + 10211506704 = 108828^2 + 101052^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7559406 + ... + 7562322.

Almost surely, 222055040288 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 22055040288

22055040288 is an abundant number, since it is smaller than the sum of its proper divisors (42830464473).

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

22055040288 is an frugal number, since it uses more digits than its factorization.

22055040288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 22055040288 in words is "twenty-two billion, fifty-five million, forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2917 5834 8751 11668 17502 23336 26253 35004 46672 52506 70008 78759 93344 105012 140016 157518 210024 236277 280032 315036 420048 472554 630072 840096 945108 1260144 1890216 2520288 3780432 7560864 8508889 17017778 25526667 34035556 51053334 68071112 76580001 102106668 136142224 153160002 204213336 229740003 272284448 306320004 408426672 459480006 612640008 689220009 816853344 918960012 1225280016 1378440018 1837920024 2450560032 2756880036 3675840048 5513760072 7351680096 11027520144 22055040288