Base | Representation |
---|---|
bin | 10101001000100101… |
… | …010011000000100000 |
3 | 2011120111002011022200 |
4 | 111020211103000200 |
5 | 332433244320331 |
6 | 14231432333200 |
7 | 1432225455405 |
oct | 251045230040 |
9 | 64514064280 |
10 | 22692573216 |
11 | 9695403145 |
12 | 4493844200 |
13 | 21a8490b21 |
14 | 1153b442ac |
15 | 8cc3355e6 |
hex | 548953020 |
22692573216 has 144 divisors (see below), whose sum is σ = 68934358584. Its totient is φ = 7056064512.
The previous prime is 22692573181. The next prime is 22692573271. The reversal of 22692573216 is 61237529622.
22692573216 is a `hidden beast` number, since 2 + 2 + 69 + 2 + 573 + 2 + 16 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 18697827600 + 3994745616 = 136740^2 + 63204^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 23 ways as a sum of consecutive naturals, for example, 532740 + ... + 573756.
Almost surely, 222692573216 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 22692573216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34467179292).
22692573216 is an abundant number, since it is smaller than the sum of its proper divisors (46241785368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22692573216 is a wasteful number, since it uses less digits than its factorization.
22692573216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41163 (or 41152 counting only the distinct ones).
The product of its digits is 544320, while the sum is 45.
The spelling of 22692573216 in words is "twenty-two billion, six hundred ninety-two million, five hundred seventy-three thousand, two hundred sixteen".
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