Search a number
-
+
23188 = 22111731
BaseRepresentation
bin101101010010100
31011210211
411222110
51220223
6255204
7124414
oct55224
934724
1023188
1116470
1211504
13a729
148644
156d0d
hex5a94

23188 has 24 divisors (see below), whose sum is σ = 48384. Its totient is φ = 9600.

The previous prime is 23173. The next prime is 23189. The reversal of 23188 is 88132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733 + ... + 763.

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

223188 is an apocalyptic number.

It is an amenable number.

23188 is an abundant number, since it is smaller than the sum of its proper divisors (25196).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

23188 is a wasteful number, since it uses less digits than its factorization.

23188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 23188 is about 152.2760650923. The cubic root of 23188 is about 28.5159447046.

The spelling of 23188 in words is "twenty-three thousand, one hundred eighty-eight".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 124 187 341 374 527 682 748 1054 1364 2108 5797 11594 23188