Base | Representation |
---|---|
bin | 101010001001… |
… | …1100101011000 |
3 | 1112120210221002 |
4 | 1110103211120 |
5 | 21124202222 |
6 | 2105404132 |
7 | 355564253 |
oct | 124234530 |
9 | 45523832 |
10 | 22100312 |
11 | 11525323 |
12 | 7499648 |
13 | 476a410 |
14 | 2d1409a |
15 | 1e18392 |
hex | 1513958 |
22100312 has 64 divisors (see below), whose sum is σ = 46992960. Its totient is φ = 9676800.
The previous prime is 22100297. The next prime is 22100317. The reversal of 22100312 is 21300122.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 22100293 and 22100302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22100317) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 302708 + ... + 302780.
It is an arithmetic number, because the mean of its divisors is an integer number (734265).
Almost surely, 222100312 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 22100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496480).
22100312 is an abundant number, since it is smaller than the sum of its proper divisors (24892648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22100312 is a wasteful number, since it uses less digits than its factorization.
22100312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 22100312 is about 4701.0968932793. The cubic root of 22100312 is about 280.6291634344.
Adding to 22100312 its reverse (21300122), we get a palindrome (43400434).
The spelling of 22100312 in words is "twenty-two million, one hundred thousand, three hundred twelve".
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