Base | Representation |
---|---|
bin | 101010011011… |
… | …0001110101100 |
3 | 1112212000120221 |
4 | 1110312032230 |
5 | 21143222340 |
6 | 2112421124 |
7 | 360025060 |
oct | 124661654 |
9 | 45760527 |
10 | 22242220 |
11 | 11611a00 |
12 | 75477a4 |
13 | 47b9ba0 |
14 | 2d4daa0 |
15 | 1e4544a |
hex | 15363ac |
22242220 has 144 divisors (see below), whose sum is σ = 63814464. Its totient is φ = 6336000.
The previous prime is 22242211. The next prime is 22242251. The reversal of 22242220 is 2224222.
It is a junction number, because it is equal to n+sod(n) for n = 22242194 and 22242203.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220170 + ... + 220270.
It is an arithmetic number, because the mean of its divisors is an integer number (443156).
Almost surely, 222242220 is an apocalyptic number.
22242220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907232).
22242220 is an abundant number, since it is smaller than the sum of its proper divisors (41572244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22242220 is a wasteful number, since it uses less digits than its factorization.
22242220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 22242220 is about 4716.1658155752. The cubic root of 22242220 is about 281.2285303776.
Adding to 22242220 its reverse (2224222), we get a palindrome (24466442).
It can be divided in two parts, 2224 and 2220, that added together give a palindrome (4444).
The spelling of 22242220 in words is "twenty-two million, two hundred forty-two thousand, two hundred twenty".
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