Base | Representation |
---|---|
bin | 101010100110… |
… | …0001100111110 |
3 | 1120000121001100 |
4 | 1111030030332 |
5 | 21204112342 |
6 | 2114353530 |
7 | 360551343 |
oct | 125141476 |
9 | 46017040 |
10 | 22332222 |
11 | 11673590 |
12 | 758b8a6 |
13 | 481bb43 |
14 | 2d747ca |
15 | 1e61e4c |
hex | 154c33e |
22332222 has 72 divisors (see below), whose sum is σ = 54927288. Its totient is φ = 6501600.
The previous prime is 22332221. The next prime is 22332227. The reversal of 22332222 is 22223322.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 22332195 and 22332204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22332221) 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 35 ways as a sum of consecutive naturals, for example, 366072 + ... + 366132.
It is an arithmetic number, because the mean of its divisors is an integer number (762879).
Almost surely, 222332222 is an apocalyptic number.
22332222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22332222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27463644).
22332222 is an abundant number, since it is smaller than the sum of its proper divisors (32595066).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22332222 is a wasteful number, since it uses less digits than its factorization.
22332222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 166 (or 120 counting only the distinct ones).
The product of its digits is 576, while the sum is 18.
The square root of 22332222 is about 4725.6980436757. The cubic root of 22332222 is about 281.6073454819.
Adding to 22332222 its reverse (22223322), we get a palindrome (44555544).
Subtracting from 22332222 its reverse (22223322), we obtain a square (108900 = 3302).
The spelling of 22332222 in words is "twenty-two million, three hundred thirty-two thousand, two hundred twenty-two".
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