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22727713 is a prime number
BaseRepresentation
bin101011010110…
…0110000100001
31120202200120011
41112230300201
521304241323
62131044521
7364116361
oct126546041
946680504
1022727713
1111913738
127740741
134929b68
1430389a1
151ede20d
hex15acc21

22727713 has 2 divisors, whose sum is σ = 22727714. Its totient is φ = 22727712.

The previous prime is 22727711. The next prime is 22727767. The reversal of 22727713 is 31772722.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19864849 + 2862864 = 4457^2 + 1692^2 .

It is a cyclic number.

It is not a de Polignac number, because 22727713 - 21 = 22727711 is a prime.

It is a super-4 number, since 4×227277134 (a number of 31 digits) contains 4444 as substring.

Together with 22727711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22727711) 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, 11363856 + 11363857.

It is an arithmetic number, because the mean of its divisors is an integer number (11363857).

Almost surely, 222727713 is an apocalyptic number.

It is an amenable number.

22727713 is a deficient number, since it is larger than the sum of its proper divisors (1).

22727713 is an equidigital number, since it uses as much as digits as its factorization.

22727713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8232, while the sum is 31.

The square root of 22727713 is about 4767.3591221975. The cubic root of 22727713 is about 283.2599965519.

The spelling of 22727713 in words is "twenty-two million, seven hundred twenty-seven thousand, seven hundred thirteen".