Base | Representation |
---|---|
bin | 1010001001100110111110… |
… | …00100101110001000000000 |
3 | 2221000210211112120011011212 |
4 | 11010303133010232020000 |
5 | 10411144131003023223 |
6 | 115245502525025252 |
7 | 4462411064641412 |
oct | 504633704561000 |
9 | 87023745504155 |
10 | 22320392626688 |
11 | 7126030823402 |
12 | 2605a123b5228 |
13 | c5ba5b4b0b00 |
14 | 57245433a9b2 |
15 | 28a910997278 |
hex | 144cdf12e200 |
22320392626688 has 90 divisors (see below), whose sum is σ = 48294639523647. Its totient is φ = 10301078261760.
The previous prime is 22320392626681. The next prime is 22320392626717. The reversal of 22320392626688 is 88662629302322.
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.
It can be written as a sum of positive squares in 5 ways, for example, as 1826736058624 + 20493656568064 = 1351568^2 + 4526992^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=3340688.
It is a super-3 number, since 3×223203926266883 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (22320392626681) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1389718178 + ... + 1389734238.
Almost surely, 222320392626688 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 22320392626688
22320392626688 is an abundant number, since it is smaller than the sum of its proper divisors (25974246896959).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22320392626688 is an frugal number, since it uses more digits than its factorization.
22320392626688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 32166 (or 16076 counting only the distinct ones).
The product of its (nonzero) digits is 35831808, while the sum is 59.
The spelling of 22320392626688 in words is "twenty-two trillion, three hundred twenty billion, three hundred ninety-two million, six hundred twenty-six thousand, six hundred eighty-eight".
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