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23192 = 2313223
BaseRepresentation
bin101101010011000
31011210222
411222120
51220232
6255212
7124421
oct55230
934728
1023192
1116474
1211508
13a730
148648
156d12
hex5a98

23192 has 16 divisors (see below), whose sum is σ = 47040. Its totient is φ = 10656.

The previous prime is 23189. The next prime is 23197. The reversal of 23192 is 29132.

23192 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 23192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23197) 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 3 ways as a sum of consecutive naturals, for example, 8 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

223192 is an apocalyptic number.

It is an amenable number.

23192 is an abundant number, since it is smaller than the sum of its proper divisors (23848).

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 (23520).

23192 is a wasteful number, since it uses less digits than its factorization.

23192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 23192 is about 152.2891985664. The cubic root of 23192 is about 28.5175843059.

It can be divided in two parts, 231 and 92, that added together give a palindrome (323).

The spelling of 23192 in words is "twenty-three thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 104 223 446 892 1784 2899 5798 11596 23192