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22000961 is a prime number
BaseRepresentation
bin101001111101…
…1010101000001
31112101202122102
41103323111001
521113012321
62103320145
7355001513
oct123732501
945352572
1022000961
1111467714
127450055
134734128
142cc9bb3
151de8c0b
hex14fb541

22000961 has 2 divisors, whose sum is σ = 22000962. Its totient is φ = 22000960.

The previous prime is 22000939. The next prime is 22000963. The reversal of 22000961 is 16900022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18318400 + 3682561 = 4280^2 + 1919^2 .

It is a cyclic number.

It is not a de Polignac number, because 22000961 - 26 = 22000897 is a prime.

Together with 22000963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22000963) 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, 11000480 + 11000481.

It is an arithmetic number, because the mean of its divisors is an integer number (11000481).

Almost surely, 222000961 is an apocalyptic number.

It is an amenable number.

22000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000961 is an equidigital number, since it uses as much as digits as its factorization.

22000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 22000961 is about 4690.5182016489. The cubic root of 22000961 is about 280.2080129452.

Adding to 22000961 its reverse (16900022), we get a palindrome (38900983).

The spelling of 22000961 in words is "twenty-two million, nine hundred sixty-one", and thus it is an aban number.