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23006993 is a prime number
BaseRepresentation
bin101011111000…
…0111100010001
31121021212122212
41113300330101
521342210433
62141041505
7366361532
oct127607421
947255585
1023006993
1111a94549
127856295
1349c7009
1430ac689
152046d48
hex15f0f11

23006993 has 2 divisors, whose sum is σ = 23006994. Its totient is φ = 23006992.

The previous prime is 23006981. The next prime is 23007011. The reversal of 23006993 is 39960032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20866624 + 2140369 = 4568^2 + 1463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23006993 is a prime.

23006993 is a modest number, since divided by 6993 gives 23 as remainder.

It is not a weakly prime, because it can be changed into another prime (23006903) 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, 11503496 + 11503497.

It is an arithmetic number, because the mean of its divisors is an integer number (11503497).

Almost surely, 223006993 is an apocalyptic number.

It is an amenable number.

23006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

23006993 is an equidigital number, since it uses as much as digits as its factorization.

23006993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 23006993 is about 4796.5605385526. The cubic root of 23006993 is about 284.4155170382.

The spelling of 23006993 in words is "twenty-three million, six thousand, nine hundred ninety-three".