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23000517 = 34283957
BaseRepresentation
bin101011110111…
…1010111000101
31121021112210000
41113233113011
521342004032
62140551513
7366333621
oct127572705
947245700
1023000517
1111a8a6a1
127852599
1349c4097
1430aa181
152044e7c
hex15ef5c5

23000517 has 10 divisors (see below), whose sum is σ = 34358918. Its totient is φ = 15333624.

The previous prime is 23000513. The next prime is 23000533. The reversal of 23000517 is 71500032.

It can be written as a sum of positive squares in only one way, i.e., 16695396 + 6305121 = 4086^2 + 2511^2 .

It is not a de Polignac number, because 23000517 - 22 = 23000513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23000517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000513) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 141898 + ... + 142059.

Almost surely, 223000517 is an apocalyptic number.

23000517 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23000517 is a deficient number, since it is larger than the sum of its proper divisors (11358401).

23000517 is an equidigital number, since it uses as much as digits as its factorization.

23000517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283969 (or 283960 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 23000517 is about 4795.8854239859. The cubic root of 23000517 is about 284.3888288087.

Adding to 23000517 its reverse (71500032), we get a palindrome (94500549).

The spelling of 23000517 in words is "twenty-three million, five hundred seventeen", and thus it is an aban number.

Divisors: 1 3 9 27 81 283957 851871 2555613 7666839 23000517