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22326 = 23612
BaseRepresentation
bin101011100110110
31010121220
411130312
51203301
6251210
7122043
oct53466
933556
1022326
1115857
1210b06
13a215
1481ca
156936
hex5736

22326 has 12 divisors (see below), whose sum is σ = 45396. Its totient is φ = 7320.

The previous prime is 22307. The next prime is 22343. The reversal of 22326 is 62322.

It is a super-3 number, since 3×223263 = 33385202585928, which contains 333 as substring.

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

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22326.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (3783).

222326 is an apocalyptic number.

22326 is the 95-th centered pentagonal number.

22326 is an abundant number, since it is smaller than the sum of its proper divisors (23070).

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 (22698).

22326 is an equidigital number, since it uses as much as digits as its factorization.

22326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 66 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 22326 is about 149.4188743098. The cubic root of 22326 is about 28.1581190096.

Adding to 22326 its reverse (62322), we get a palindrome (84648).

The spelling of 22326 in words is "twenty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 61 122 183 366 3721 7442 11163 22326