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22344 = 2337219
BaseRepresentation
bin101011101001000
31010122120
411131020
51203334
6251240
7122100
oct53510
933576
1022344
1115873
1210b20
13a22a
148200
156949
hex5748

22344 has 48 divisors (see below), whose sum is σ = 68400. Its totient is φ = 6048.

The previous prime is 22343. The next prime is 22349. The reversal of 22344 is 44322.

It is a happy number.

22344 is nontrivially palindromic in base 13.

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

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (22343) 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 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (1425).

222344 is an apocalyptic number.

22344 is a gapful number since it is divisible by the number (24) 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 22344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34200).

22344 is an abundant number, since it is smaller than the sum of its proper divisors (46056).

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

22344 is a wasteful number, since it uses less digits than its factorization.

22344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 31 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 22344 is about 149.4790955284. The cubic root of 22344 is about 28.1656843294.

Adding to 22344 its reverse (44322), we get a palindrome (66666).

It can be divided in two parts, 2 and 2344, that added together give a triangular number (2346 = T68).

The spelling of 22344 in words is "twenty-two thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 22344