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22340 = 2251117
BaseRepresentation
bin101011101000100
31010122102
411131010
51203330
6251232
7122063
oct53504
933572
1022340
111586a
1210b18
13a226
1481da
156945
hex5744

22340 has 12 divisors (see below), whose sum is σ = 46956. Its totient is φ = 8928.

The previous prime is 22307. The next prime is 22343. The reversal of 22340 is 4322.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 18496 = 62^2 + 136^2 .

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 3 ways as a sum of consecutive naturals, for example, 539 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (3913).

222340 is an apocalyptic number.

22340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22340 is an abundant number, since it is smaller than the sum of its proper divisors (24616).

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 (23478).

22340 is a wasteful number, since it uses less digits than its factorization.

22340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 22340 is about 149.4657151323. The cubic root of 22340 is about 28.1640034985.

Adding to 22340 its reverse (4322), we get a palindrome (26662).

The spelling of 22340 in words is "twenty-two thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 1117 2234 4468 5585 11170 22340