Base | Representation |
---|---|
bin | 11010100101011… |
… | …00110110101010 |
3 | 120112121212220000 |
4 | 31102230312222 |
5 | 424042143442 |
6 | 34043443430 |
7 | 5345343423 |
oct | 1522546652 |
9 | 515555800 |
10 | 223006122 |
11 | 104976889 |
12 | 62826576 |
13 | 37280ab1 |
14 | 2189064a |
15 | 148a0d4c |
hex | d4acdaa |
223006122 has 40 divisors (see below), whose sum is σ = 502752096. Its totient is φ = 73881288.
The previous prime is 223006103. The next prime is 223006123. The reversal of 223006122 is 221600322.
223006122 is a `hidden beast` number, since 22 + 30 + 0 + 612 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223006095 and 223006104.
It is not an unprimeable number, because it can be changed into a prime (223006123) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22933 + ... + 31175.
Almost surely, 2223006122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223006122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251376048).
223006122 is an abundant number, since it is smaller than the sum of its proper divisors (279745974).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223006122 is a wasteful number, since it uses less digits than its factorization.
223006122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8424 (or 8415 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 223006122 is about 14933.3895013825. The cubic root of 223006122 is about 606.4182486653.
Adding to 223006122 its reverse (221600322), we get a palindrome (444606444).
The spelling of 223006122 in words is "two hundred twenty-three million, six thousand, one hundred twenty-two".
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