Base | Representation |
---|---|
bin | 101010100101… |
… | …1101111010000 |
3 | 1120000111102220 |
4 | 1111023233100 |
5 | 21204032240 |
6 | 2114341040 |
7 | 360542655 |
oct | 125135720 |
9 | 46014386 |
10 | 22330320 |
11 | 11672111 |
12 | 758a780 |
13 | 481b00c |
14 | 2d73c2c |
15 | 1e615d0 |
hex | 154bbd0 |
22330320 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 5478912.
The previous prime is 22330313. The next prime is 22330327. The reversal of 22330320 is 2303322.
It is an interprime number because it is at equal distance from previous prime (22330313) and next prime (22330327).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 22330320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22330327) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 268999 + ... + 269081.
It is an arithmetic number, because the mean of its divisors is an integer number (468720).
Almost surely, 222330320 is an apocalyptic number.
22330320 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 22330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).
22330320 is an abundant number, since it is smaller than the sum of its proper divisors (52664880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22330320 is a wasteful number, since it uses less digits than its factorization.
22330320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 177 (or 171 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 15.
The square root of 22330320 is about 4725.4967992794. The cubic root of 22330320 is about 281.5993505710.
Adding to 22330320 its reverse (2303322), we get a palindrome (24633642).
The spelling of 22330320 in words is "twenty-two million, three hundred thirty thousand, three hundred twenty".
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