Base | Representation |
---|---|
bin | 1000011110110010110001 |
3 | 11011221202202 |
4 | 20132302301 |
5 | 1032121111 |
6 | 115352545 |
7 | 24616604 |
oct | 10366261 |
9 | 4157682 |
10 | 2223281 |
11 | 1289425 |
12 | 8b2755 |
13 | 5cac68 |
14 | 41c33b |
15 | 2ddb3b |
hex | 21ecb1 |
2223281 has 2 divisors, whose sum is σ = 2223282. Its totient is φ = 2223280.
The previous prime is 2223269. The next prime is 2223283. The reversal of 2223281 is 1823222.
2223281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 2202256 + 21025 = 1484^2 + 145^2 .
It is a cyclic number.
It is not a de Polignac number, because 2223281 - 26 = 2223217 is a prime.
It is a super-2 number, since 2×22232812 = 9885956809922, which contains 22 as substring.
Together with 2223283, it forms a pair of twin primes.
It is a Chen prime.
It is equal to p164243 and since 2223281 and 164243 have the same sum of digits, it is a Honaker prime.
It is not a weakly prime, because it can be changed into another prime (2223283) by changing a digit.
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 as a sum of consecutive naturals, namely, 1111640 + 1111641.
It is an arithmetic number, because the mean of its divisors is an integer number (1111641).
22223281 is an apocalyptic number.
It is an amenable number.
2223281 is a deficient number, since it is larger than the sum of its proper divisors (1).
2223281 is an equidigital number, since it uses as much as digits as its factorization.
2223281 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 384, while the sum is 20.
The square root of 2223281 is about 1491.0670675728. The cubic root of 2223281 is about 130.5163096227.
The spelling of 2223281 in words is "two million, two hundred twenty-three thousand, two hundred eighty-one".
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