Base | Representation |
---|---|
bin | 101010011001… |
… | …1101111010000 |
3 | 1112211111121000 |
4 | 1110303233100 |
5 | 21142411031 |
6 | 2112302000 |
7 | 356653242 |
oct | 124635720 |
9 | 45744530 |
10 | 22232016 |
11 | 11605274 |
12 | 7541900 |
13 | 47b5351 |
14 | 2d4a092 |
15 | 1e423e6 |
hex | 1533bd0 |
22232016 has 80 divisors (see below), whose sum is σ = 65085120. Its totient is φ = 7263360.
The previous prime is 22232011. The next prime is 22232029. The reversal of 22232016 is 61023222.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 22232016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22232011) 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 15 ways as a sum of consecutive naturals, for example, 22411 + ... + 23381.
It is an arithmetic number, because the mean of its divisors is an integer number (813564).
Almost surely, 222232016 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 22232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32542560).
22232016 is an abundant number, since it is smaller than the sum of its proper divisors (42853104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22232016 is a wasteful number, since it uses less digits than its factorization.
22232016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1041 (or 1029 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 22232016 is about 4715.0838804840. The cubic root of 22232016 is about 281.1855176617.
Adding to 22232016 its reverse (61023222), we get a palindrome (83255238).
The spelling of 22232016 in words is "twenty-two million, two hundred thirty-two thousand, sixteen".
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