Base | Representation |
---|---|
bin | 101001111110… |
… | …1100100000000 |
3 | 1112102020012100 |
4 | 1103331210000 |
5 | 21113310422 |
6 | 2103430400 |
7 | 355040265 |
oct | 123754400 |
9 | 45366170 |
10 | 22010112 |
11 | 11473583 |
12 | 7455400 |
13 | 4738347 |
14 | 2ccd26c |
15 | 1deb7ac |
hex | 14fd900 |
22010112 has 108 divisors (see below), whose sum is σ = 65287404. Its totient is φ = 7127040.
The previous prime is 22010089. The next prime is 22010117. The reversal of 22010112 is 21101022.
It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 19501056 = 1584^2 + 4416^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 22010094 and 22010103.
It is not an unprimeable number, because it can be changed into a prime (22010117) 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, 94348 + ... + 94580.
It is an arithmetic number, because the mean of its divisors is an integer number (604513).
Almost surely, 222010112 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 22010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643702).
22010112 is an abundant number, since it is smaller than the sum of its proper divisors (43277292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22010112 is a wasteful number, since it uses less digits than its factorization.
22010112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 296 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 22010112 is about 4691.4935788084. The cubic root of 22010112 is about 280.2468571287.
Adding to 22010112 its reverse (21101022), we get a palindrome (43111134).
It can be divided in two parts, 22010 and 112, that added together give a palindrome (22122).
The spelling of 22010112 in words is "twenty-two million, ten thousand, one hundred twelve".
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