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23214 = 235373
BaseRepresentation
bin101101010101110
31011211210
411222232
51220324
6255250
7124452
oct55256
934753
1023214
1116494
1211526
13a749
148662
156d29
hex5aae

23214 has 16 divisors (see below), whose sum is σ = 47952. Its totient is φ = 7488.

The previous prime is 23209. The next prime is 23227. The reversal of 23214 is 41232.

Adding to 23214 its reverse (41232), we get a palindrome (64446).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 23214.

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 23214.

It is an unprimeable number.

23214 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 7 ways as a sum of consecutive naturals, for example, 282 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (2997).

223214 is an apocalyptic number.

23214 is an abundant number, since it is smaller than the sum of its proper divisors (24738).

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 (23976).

23214 is a wasteful number, since it uses less digits than its factorization.

23214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

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

The square root of 23214 is about 152.3614124377. The cubic root of 23214 is about 28.5265987444.

The spelling of 23214 in words is "twenty-three thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 53 73 106 146 159 219 318 438 3869 7738 11607 23214