Base | Representation |
---|---|
bin | 101010011001… |
… | …0010011000000 |
3 | 1112211012111100 |
4 | 1110302103000 |
5 | 21142213422 |
6 | 2112214400 |
7 | 356630106 |
oct | 124622300 |
9 | 45735440 |
10 | 22226112 |
11 | 11600897 |
12 | 753a400 |
13 | 47b275c |
14 | 2d47c76 |
15 | 1e407ac |
hex | 15324c0 |
22226112 has 84 divisors (see below), whose sum is σ = 65141856. Its totient is φ = 7242240.
The previous prime is 22226077. The next prime is 22226117. The reversal of 22226112 is 21162222.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (22226117) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26662 + ... + 27482.
Almost surely, 222226112 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 22226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32570928).
22226112 is an abundant number, since it is smaller than the sum of its proper divisors (42915744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22226112 is a wasteful number, since it uses less digits than its factorization.
22226112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 886 (or 873 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 22226112 is about 4714.4577630943. The cubic root of 22226112 is about 281.1606246384.
Adding to 22226112 its reverse (21162222), we get a palindrome (43388334).
The spelling of 22226112 in words is "twenty-two million, two hundred twenty-six thousand, one hundred twelve".
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