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22806134289 = 327127092
BaseRepresentation
bin10101001111010110…
…011111111000010001
32011212101202122211100
4111033112133320101
5333201332244124
614251010335013
71435104641301
oct251726377021
964771678740
1022806134289
119743517274
12450588a469
1321c5b72023
141164c65601
158d72b81c9
hex54f59fe11

22806134289 has 27 divisors (see below), whose sum is σ = 33459896379. Its totient is φ = 14968805040.

The previous prime is 22806134251. The next prime is 22806134303. The reversal of 22806134289 is 98243160822.

The square root of 22806134289 is 151017.

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

22806134289 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 613 + 4 + 28 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3043397889 + 19762736400 = 55167^2 + 140580^2 .

It is not a de Polignac number, because 22806134289 - 229 = 22269263377 is a prime.

It is a super-2 number, since 2×228061342892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22806134249) 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, 32166267 + ... + 32166975.

Almost surely, 222806134289 is an apocalyptic number.

22806134289 is the 151017-th square number.

22806134289 is the 75509-th centered octagonal number.

It is an amenable number.

22806134289 is a deficient number, since it is larger than the sum of its proper divisors (10653762090).

22806134289 is an frugal number, since it uses more digits than its factorization.

22806134289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 22806134289 in words is "twenty-two billion, eight hundred six million, one hundred thirty-four thousand, two hundred eighty-nine".

Divisors: 1 3 9 71 213 639 709 2127 5041 6381 15123 45369 50339 151017 453051 502681 1508043 3574069 4524129 10722207 32166621 35690351 107071053 321213159 2534014921 7602044763 22806134289