Base | Representation |
---|---|
bin | 101010010111… |
… | …0011100010000 |
3 | 1112210101211110 |
4 | 1110232130100 |
5 | 21141212240 |
6 | 2112013320 |
7 | 356533056 |
oct | 124563420 |
9 | 45711743 |
10 | 22210320 |
11 | 1159aa40 |
12 | 7531240 |
13 | 47a8502 |
14 | 2d421d6 |
15 | 1e3ac80 |
hex | 152e710 |
22210320 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 5240320.
The previous prime is 22210289. The next prime is 22210333. The reversal of 22210320 is 2301222.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 22210296 and 22210305.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 123991 + ... + 124169.
It is an arithmetic number, because the mean of its divisors is an integer number (482112).
Almost surely, 222210320 is an apocalyptic number.
22210320 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 22210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).
22210320 is an abundant number, since it is smaller than the sum of its proper divisors (54927600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22210320 is a wasteful number, since it uses less digits than its factorization.
22210320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 253 (or 247 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 22210320 is about 4712.7826175201. The cubic root of 22210320 is about 281.0940191883.
Adding to 22210320 its reverse (2301222), we get a palindrome (24511542).
The spelling of 22210320 in words is "twenty-two million, two hundred ten thousand, three hundred twenty".
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