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22314 = 233719
BaseRepresentation
bin101011100101010
31010121110
411130222
51203224
6251150
7122025
oct53452
933543
1022314
1115846
1210ab6
13a206
1481bc
156929
hex572a

22314 has 8 divisors (see below), whose sum is σ = 44640. Its totient is φ = 7436.

The previous prime is 22307. The next prime is 22343. The reversal of 22314 is 41322.

Adding to 22314 its reverse (41322), we get a palindrome (63636).

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

It is a super-3 number, since 3×223143 = 33331398885432, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22314.

It is an unprimeable number.

22314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1854 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

222314 is an apocalyptic number.

22314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (22320).

22314 is a wasteful number, since it uses less digits than its factorization.

22314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724.

The product of its digits is 48, while the sum is 12.

The square root of 22314 is about 149.3787133430. The cubic root of 22314 is about 28.1530732037.

The spelling of 22314 in words is "twenty-two thousand, three hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 3719 7438 11157 22314