Base | Representation |
---|---|
bin | 101011010000… |
… | …1001010100000 |
3 | 1120200021102022 |
4 | 1112201022200 |
5 | 21301231344 |
6 | 2130041012 |
7 | 363531050 |
oct | 126411240 |
9 | 46607368 |
10 | 22680224 |
11 | 11890a96 |
12 | 7719168 |
13 | 4911368 |
14 | 3025560 |
15 | 1ed00ee |
hex | 15a12a0 |
22680224 has 72 divisors (see below), whose sum is σ = 54462240. Its totient is φ = 9082368.
The previous prime is 22680211. The next prime is 22680241. The reversal of 22680224 is 42208622.
It is a junction number, because it is equal to n+sod(n) for n = 22680193 and 22680202.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310652 + ... + 310724.
It is an arithmetic number, because the mean of its divisors is an integer number (756420).
Almost surely, 222680224 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 22680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231120).
22680224 is an abundant number, since it is smaller than the sum of its proper divisors (31782016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22680224 is an equidigital number, since it uses as much as digits as its factorization.
22680224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 26.
The square root of 22680224 is about 4762.3758776476. The cubic root of 22680224 is about 283.0625707061.
Adding to 22680224 its reverse (42208622), we get a palindrome (64888846).
The spelling of 22680224 in words is "twenty-two million, six hundred eighty thousand, two hundred twenty-four".
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