Base | Representation |
---|---|
bin | 101010001010… |
… | …1000000000000 |
3 | 1112121002212220 |
4 | 1110111000000 |
5 | 21124343422 |
6 | 2105451040 |
7 | 355620210 |
oct | 124250000 |
9 | 45532786 |
10 | 22106112 |
11 | 11529716 |
12 | 74a0a80 |
13 | 476cc52 |
14 | 2d16240 |
15 | 1e19e5c |
hex | 1515000 |
22106112 has 104 divisors (see below), whose sum is σ = 67624896. Its totient is φ = 6291456.
The previous prime is 22106111. The next prime is 22106129. The reversal of 22106112 is 21160122.
It is a junction number, because it is equal to n+sod(n) for n = 22106091 and 22106100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22106111) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85888 + ... + 86144.
Almost surely, 222106112 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 22106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33812448).
22106112 is an abundant number, since it is smaller than the sum of its proper divisors (45518784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22106112 is an equidigital number, since it uses as much as digits as its factorization.
22106112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 291 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 22106112 is about 4701.7137301201. The cubic root of 22106112 is about 280.6537107015.
Adding to 22106112 its reverse (21160122), we get a palindrome (43266234).
The spelling of 22106112 in words is "twenty-two million, one hundred six thousand, one hundred twelve".
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