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23214400049 is a prime number
BaseRepresentation
bin10101100111101011…
…111010001000110001
32012220211222201011102
4111213223322020301
5340020341300144
614355313054145
71451163100421
oct254753721061
965824881142
1023214400049
119932a18395
1245ba557355
13225c6189b9
1411a317c481
1590d060b4e
hex567afa231

23214400049 has 2 divisors, whose sum is σ = 23214400050. Its totient is φ = 23214400048.

The previous prime is 23214400021. The next prime is 23214400073. The reversal of 23214400049 is 94000441232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21391110049 + 1823290000 = 146257^2 + 42700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23214400049 is a prime.

It is a super-2 number, since 2×232144000492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23214399994 and 23214400030.

It is not a weakly prime, because it can be changed into another prime (23214420049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11607200024 + 11607200025.

It is an arithmetic number, because the mean of its divisors is an integer number (11607200025).

Almost surely, 223214400049 is an apocalyptic number.

It is an amenable number.

23214400049 is a deficient number, since it is larger than the sum of its proper divisors (1).

23214400049 is an equidigital number, since it uses as much as digits as its factorization.

23214400049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 23214400049 in words is "twenty-three billion, two hundred fourteen million, four hundred thousand, forty-nine".