Base | Representation |
---|---|
bin | 101010001011… |
… | …0110000100000 |
3 | 1112121110202120 |
4 | 1110112300200 |
5 | 21130111222 |
6 | 2105544240 |
7 | 355650204 |
oct | 124266040 |
9 | 45543676 |
10 | 22113312 |
11 | 11534071 |
12 | 74a5080 |
13 | 4773300 |
14 | 2d18b04 |
15 | 1e1c15c |
hex | 1516c20 |
22113312 has 144 divisors (see below), whose sum is σ = 66407040. Its totient is φ = 6429696.
The previous prime is 22113263. The next prime is 22113353. The reversal of 22113312 is 21331122.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 22113291 and 22113300.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470473 + ... + 470519.
It is an arithmetic number, because the mean of its divisors is an integer number (461160).
Almost surely, 222113312 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 22113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203520).
22113312 is an abundant number, since it is smaller than the sum of its proper divisors (44293728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22113312 is a wasteful number, since it uses less digits than its factorization.
22113312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 94 counting only the distinct ones).
The product of its digits is 72, while the sum is 15.
The square root of 22113312 is about 4702.4793460471. The cubic root of 22113312 is about 280.6841771983.
Adding to 22113312 its reverse (21331122), we get a palindrome (43444434).
The spelling of 22113312 in words is "twenty-two million, one hundred thirteen thousand, three hundred twelve".
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