Base | Representation |
---|---|
bin | 101010100010… |
… | …1010101110000 |
3 | 1112222011111020 |
4 | 1111011111300 |
5 | 21202212422 |
6 | 2114015440 |
7 | 360403365 |
oct | 125052560 |
9 | 45864436 |
10 | 22304112 |
11 | 11654456 |
12 | 7577580 |
13 | 480c0cc |
14 | 2d6846c |
15 | 1e5895c |
hex | 1545570 |
22304112 has 80 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 7000576.
The previous prime is 22304069. The next prime is 22304129. The reversal of 22304112 is 21140322.
22304112 = T663 + T664 + ... + T751.
It is a junction number, because it is equal to n+sod(n) for n = 22304091 and 22304100.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 98143 + ... + 98369.
It is an arithmetic number, because the mean of its divisors is an integer number (763344).
Almost surely, 222304112 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 22304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).
22304112 is an abundant number, since it is smaller than the sum of its proper divisors (38763408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22304112 is a wasteful number, since it uses less digits than its factorization.
22304112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 350 (or 344 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 22304112 is about 4722.7229433876. The cubic root of 22304112 is about 281.4891410008.
Adding to 22304112 its reverse (21140322), we get a palindrome (43444434).
The spelling of 22304112 in words is "twenty-two million, three hundred four thousand, one hundred twelve".
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