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23000247 = 331794759
BaseRepresentation
bin101011110111…
…1010010110111
31121021112102000
41113233102313
521342001442
62140550343
7366333054
oct127572267
947245360
1023000247
1111a8a476
1278523b3
1349c3c1a
1430aa02b
152044d4c
hex15ef4b7

23000247 has 16 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 15244632.

The previous prime is 23000189. The next prime is 23000261. The reversal of 23000247 is 74200032.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-23000247 is a prime.

It is a super-2 number, since 2×230002472 = 1058022724122018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000287) 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 in 15 ways as a sum of consecutive naturals, for example, 2454 + ... + 7212.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 223000247 is an apocalyptic number.

23000247 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

23000247 is a deficient number, since it is larger than the sum of its proper divisors (11271753).

23000247 is a wasteful number, since it uses less digits than its factorization.

23000247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23000247 is about 4795.8572747737. The cubic root of 23000247 is about 284.3877160035.

Adding to 23000247 its reverse (74200032), we get a palindrome (97200279).

The spelling of 23000247 in words is "twenty-three million, two hundred forty-seven", and thus it is an aban number.

Divisors: 1 3 9 27 179 537 1611 4759 4833 14277 42831 128493 851861 2555583 7666749 23000247