Base | Representation |
---|---|
bin | 101010100011… |
… | …1110110100001 |
3 | 1112222200121022 |
4 | 1111013312201 |
5 | 21203030101 |
6 | 2114135225 |
7 | 360445364 |
oct | 125076641 |
9 | 45880538 |
10 | 22314401 |
11 | 1166115a |
12 | 7581515 |
13 | 48139b5 |
14 | 2d6c0db |
15 | 1e5ba1b |
hex | 1547da1 |
22314401 has 2 divisors, whose sum is σ = 22314402. Its totient is φ = 22314400.
The previous prime is 22314361. The next prime is 22314403. The reversal of 22314401 is 10441322.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 18318400 + 3996001 = 4280^2 + 1999^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-22314401 is a prime.
It is a super-3 number, since 3×223144013 (a number of 23 digits) contains 333 as substring.
Together with 22314403, it forms a pair of twin primes.
It is a Chen prime.
It is a self number, because there is not a number n which added to its sum of digits gives 22314401.
It is not a weakly prime, because it can be changed into another prime (22314403) 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 as a sum of consecutive naturals, namely, 11157200 + 11157201.
It is an arithmetic number, because the mean of its divisors is an integer number (11157201).
Almost surely, 222314401 is an apocalyptic number.
It is an amenable number.
22314401 is a deficient number, since it is larger than the sum of its proper divisors (1).
22314401 is an equidigital number, since it uses as much as digits as its factorization.
22314401 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 22314401 is about 4723.8121258153. The cubic root of 22314401 is about 281.5324184697.
Adding to 22314401 its reverse (10441322), we get a palindrome (32755723).
The spelling of 22314401 in words is "twenty-two million, three hundred fourteen thousand, four hundred one".
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