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18222570081 = 345322832
BaseRepresentation
bin10000111110001001…
…100101101001100001
31202000221222110210000
4100332021211221201
5244304434220311
612212112530213
71213400201322
oct207611455141
952027873700
1018222570081
117801190681
123646850969
13194538aa61
14c4c206449
15719bc0056
hex43e265a61

18222570081 has 45 divisors (see below), whose sum is σ = 27843055779. Its totient is φ = 11877048144.

The previous prime is 18222570073. The next prime is 18222570083. The reversal of 18222570081 is 18007522281.

The square root of 18222570081 is 134991.

It is a perfect power (a square), and thus also a powerful number.

18222570081 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 2 + 570 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13136598225 + 5085971856 = 114615^2 + 71316^2 .

It is not a de Polignac number, because 18222570081 - 23 = 18222570073 is a prime.

It is a super-2 number, since 2×182225700812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18222570083) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 64390566 + ... + 64390848.

Almost surely, 218222570081 is an apocalyptic number.

18222570081 is the 134991-st square number.

18222570081 is the 67496-th centered octagonal number.

It is an amenable number.

18222570081 is a deficient number, since it is larger than the sum of its proper divisors (9620485698).

18222570081 is an frugal number, since it uses more digits than its factorization.

18222570081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Multiplying 18222570081 by its sum of digits (36), we get a square (656012522916 = 8099462).

The spelling of 18222570081 in words is "eighteen billion, two hundred twenty-two million, five hundred seventy thousand, eighty-one".

Divisors: 1 3 9 27 53 81 159 283 477 849 1431 2547 2809 4293 7641 8427 14999 22923 25281 44997 75843 80089 134991 227529 240267 404973 720801 794947 1214919 2162403 2384841 4244717 6487209 7154523 12734151 21463569 38202453 64390707 114607359 224970001 343822077 674910003 2024730009 6074190027 18222570081