Base | Representation |
---|---|
bin | 101010110001… |
… | …1101100010000 |
3 | 1120012111000200 |
4 | 1111203230100 |
5 | 21220202212 |
6 | 2120415200 |
7 | 361432005 |
oct | 125435420 |
9 | 46174020 |
10 | 22428432 |
11 | 117298a4 |
12 | 7617500 |
13 | 4853880 |
14 | 2d9b8ac |
15 | 1e806dc |
hex | 1563b10 |
22428432 has 60 divisors (see below), whose sum is σ = 67602444. Its totient is φ = 6900480.
The previous prime is 22428431. The next prime is 22428433. The reversal of 22428432 is 23482422.
22428432 is a `hidden beast` number, since 224 + 2 + 8 + 432 = 666.
22428432 is nontrivially palindromic in base 5.
It is an interprime number because it is at equal distance from previous prime (22428431) and next prime (22428433).
It can be written as a sum of positive squares in 2 ways, for example, as 13571856 + 8856576 = 3684^2 + 2976^2 .
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 22428396 and 22428405.
It is not an unprimeable number, because it can be changed into a prime (22428431) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 4119 + ... + 7862.
Almost surely, 222428432 is an apocalyptic number.
It is an amenable number.
22428432 is an abundant number, since it is smaller than the sum of its proper divisors (45174012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22428432 is a wasteful number, since it uses less digits than its factorization.
22428432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12008 (or 11999 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 22428432 is about 4735.8665521740. The cubic root of 22428432 is about 282.0111659982.
The spelling of 22428432 in words is "twenty-two million, four hundred twenty-eight thousand, four hundred thirty-two".
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