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23057819 is a prime number
BaseRepresentation
bin101011111110…
…1010110011011
31121101110101022
41113331112123
521400322234
62142113055
7366662651
oct127752633
947343338
1023057819
1112019754
12787b78b
134a141a5
1430c2dd1
152056e2e
hex15fd59b

23057819 has 2 divisors, whose sum is σ = 23057820. Its totient is φ = 23057818.

The previous prime is 23057767. The next prime is 23057821. The reversal of 23057819 is 91875032.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 23057819 - 28 = 23057563 is a prime.

It is a super-2 number, since 2×230578192 = 1063326034073522, which contains 22 as substring.

Together with 23057821, 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 (23057719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11528909 + 11528910.

It is an arithmetic number, because the mean of its divisors is an integer number (11528910).

Almost surely, 223057819 is an apocalyptic number.

23057819 is a deficient number, since it is larger than the sum of its proper divisors (1).

23057819 is an equidigital number, since it uses as much as digits as its factorization.

23057819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 23057819 is about 4801.8557870890. The cubic root of 23057819 is about 284.6248022637.

The spelling of 23057819 in words is "twenty-three million, fifty-seven thousand, eight hundred nineteen".