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23322 = 2313223
BaseRepresentation
bin101101100011010
31011222210
411230122
51221242
6255550
7124665
oct55432
934883
1023322
1116582
12115b6
13a800
1486dc
156d9c
hex5b1a

23322 has 24 divisors (see below), whose sum is σ = 52704. Its totient is φ = 6864.

The previous prime is 23321. The next prime is 23327. The reversal of 23322 is 22332.

Adding to 23322 its reverse (22332), we get a palindrome (45654).

Subtracting from 23322 its reverse (22332), we obtain a triangular number (990 = T44).

It can be divided in two parts, 2332 and 2, that multiplied together give a palindrome (4664).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 23298 and 23307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (2196).

223322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352).

23322 is an abundant number, since it is smaller than the sum of its proper divisors (29382).

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

23322 is a wasteful number, since it uses less digits than its factorization.

23322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its digits is 72, while the sum is 12.

The square root of 23322 is about 152.7154216181. The cubic root of 23322 is about 28.5707690324.

The spelling of 23322 in words is "twenty-three thousand, three hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 897 1014 1794 3887 7774 11661 23322