Base | Representation |
---|---|
bin | 101001111110… |
… | …0100100010000 |
3 | 1112102000121020 |
4 | 1103330210100 |
5 | 21113143112 |
6 | 2103355440 |
7 | 355022346 |
oct | 123744420 |
9 | 45360536 |
10 | 22006032 |
11 | 11470504 |
12 | 7452b80 |
13 | 4736529 |
14 | 2ccb996 |
15 | 1dea48c |
hex | 14fc910 |
22006032 has 80 divisors (see below), whose sum is σ = 61329408. Its totient is φ = 6779520.
The previous prime is 22005989. The next prime is 22006037. The reversal of 22006032 is 23060022.
It is not an unprimeable number, because it can be changed into a prime (22006037) 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 15 ways as a sum of consecutive naturals, for example, 33903 + ... + 34545.
Almost surely, 222006032 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 22006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30664704).
22006032 is an abundant number, since it is smaller than the sum of its proper divisors (39323376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22006032 is a wasteful number, since it uses less digits than its factorization.
22006032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 708 (or 702 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 22006032 is about 4691.0587291144. The cubic root of 22006032 is about 280.2295396667.
Adding to 22006032 its reverse (23060022), we get a palindrome (45066054).
The spelling of 22006032 in words is "twenty-two million, six thousand, thirty-two".
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