Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
23023 = 7111323
BaseRepresentation
bin101100111101111
31011120201
411213233
51214043
6254331
7124060
oct54757
934521
1023023
1116330
12113a7
13a630
148567
156c4d
hex59ef

23023 has 16 divisors (see below), whose sum is σ = 32256. Its totient is φ = 15840.

The previous prime is 23021. The next prime is 23027. The reversal of 23023 is 32032.

It is not a de Polignac number, because 23023 - 21 = 23021 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

223023 is an apocalyptic number.

23023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

23023 is a deficient number, since it is larger than the sum of its proper divisors (9233).

23023 is a wasteful number, since it uses less digits than its factorization.

23023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 23023 is about 151.7333186878. The cubic root of 23023 is about 28.4481461970.

Multiplying 23023 by its product of nonzero digits (36), we get a palindrome (828828).

Adding to 23023 its reverse (32032), we get a palindrome (55055).

Subtracting 23023 from its reverse (32032), we obtain a palindrome (9009).

It can be divided in two parts, 230 and 23, that added together give a triangular number (253 = T22).

The spelling of 23023 in words is "twenty-three thousand, twenty-three", and thus it is an iban number.

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 23023