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22321 = 1317101
BaseRepresentation
bin101011100110001
31010121201
411130301
51203241
6251201
7122035
oct53461
933551
1022321
1115852
1210b01
13a210
1481c5
156931
hex5731

22321 has 8 divisors (see below), whose sum is σ = 25704. Its totient is φ = 19200.

The previous prime is 22307. The next prime is 22343. The reversal of 22321 is 12322.

22321 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 7921 + 14400 = 89^2 + 120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(22321) divides (22321-1)2.

It is a cyclic number.

It is not a de Polignac number, because 22321 - 27 = 22193 is a prime.

It is a super-3 number, since 3×223213 = 33362777346483, which contains 333 as substring.

It is a deceptive number, since it divides R22320.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 22298 and 22307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (3213).

222321 is an apocalyptic number.

It is an amenable number.

22321 is a deficient number, since it is larger than the sum of its proper divisors (3383).

22321 is a wasteful number, since it uses less digits than its factorization.

22321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131.

The product of its digits is 24, while the sum is 10.

The square root of 22321 is about 149.4021418856. The cubic root of 22321 is about 28.1560168103.

The spelling of 22321 in words is "twenty-two thousand, three hundred twenty-one", and is thus an iban number.

Divisors: 1 13 17 101 221 1313 1717 22321