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23000 = 235323
BaseRepresentation
bin101100111011000
31011112212
411213120
51214000
6254252
7124025
oct54730
934485
1023000
111630a
1211388
13a613
14854c
156c35
hex59d8

23000 has 32 divisors (see below), whose sum is σ = 56160. Its totient is φ = 8800.

The previous prime is 22993. The next prime is 23003. The reversal of 23000 is 32.

Adding to 23000 its reverse (32), we get a palindrome (23032).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003) by changing a digit.

23000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

223000 is an apocalyptic number.

23000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080).

23000 is an abundant number, since it is smaller than the sum of its proper divisors (33160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23000 is a wasteful number, since it uses less digits than its factorization.

23000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 23000 is about 151.6575088810. The cubic root of 23000 is about 28.4386697985.

The spelling of 23000 in words is "twenty-three thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000