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22820561 is a prime number
BaseRepresentation
bin101011100001…
…1011011010001
31120221101220222
41113003123101
521320224221
62133042425
7364654151
oct127033321
946841828
1022820561
1111977475
127786415
1349601ba
143060761
15200b9ab
hex15c36d1

22820561 has 2 divisors, whose sum is σ = 22820562. Its totient is φ = 22820560.

The previous prime is 22820549. The next prime is 22820563. The reversal of 22820561 is 16502822.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18490000 + 4330561 = 4300^2 + 2081^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22820561 is a prime.

It is a super-3 number, since 3×228205613 (a number of 23 digits) contains 333 as substring.

Together with 22820563, 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 22820561.

It is not a weakly prime, because it can be changed into another prime (22820563) 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, 11410280 + 11410281.

It is an arithmetic number, because the mean of its divisors is an integer number (11410281).

Almost surely, 222820561 is an apocalyptic number.

It is an amenable number.

22820561 is a deficient number, since it is larger than the sum of its proper divisors (1).

22820561 is an equidigital number, since it uses as much as digits as its factorization.

22820561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 22820561 is about 4777.0870831501. The cubic root of 22820561 is about 283.6452001604.

The spelling of 22820561 in words is "twenty-two million, eight hundred twenty thousand, five hundred sixty-one".