Base | Representation |
---|---|
bin | 101010100100… |
… | …1010001001000 |
3 | 1112222222120002 |
4 | 1111021101020 |
5 | 21203221300 |
6 | 2114222132 |
7 | 360501320 |
oct | 125112110 |
9 | 45888502 |
10 | 22320200 |
11 | 11665551 |
12 | 7584948 |
13 | 4816526 |
14 | 2d70280 |
15 | 1e5d5d5 |
hex | 1549448 |
22320200 has 96 divisors (see below), whose sum is σ = 60264000. Its totient is φ = 7530240.
The previous prime is 22320191. The next prime is 22320209. The reversal of 22320200 is 202322.
It is an interprime number because it is at equal distance from previous prime (22320191) and next prime (22320209).
It is a super-3 number, since 3×223202003 (a number of 23 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (22320209) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149726 + ... + 149874.
It is an arithmetic number, because the mean of its divisors is an integer number (627750).
Almost surely, 222320200 is an apocalyptic number.
22320200 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 22320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132000).
22320200 is an abundant number, since it is smaller than the sum of its proper divisors (37943800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22320200 is a wasteful number, since it uses less digits than its factorization.
22320200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 11.
The square root of 22320200 is about 4724.4258910475. The cubic root of 22320200 is about 281.5568042925.
Adding to 22320200 its reverse (202322), we get a palindrome (22522522).
The spelling of 22320200 in words is "twenty-two million, three hundred twenty thousand, two hundred".
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