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223314 = 23713409
BaseRepresentation
bin110110100001010010
3102100022220
4312201102
524121224
64441510
71620030
oct664122
9370286
10223314
11142863
12a9296
137a850
145b550
1546279
hex36852

223314 has 32 divisors (see below), whose sum is σ = 551040. Its totient is φ = 58752.

The previous prime is 223313. The next prime is 223319. The reversal of 223314 is 413322.

It is a junction number, because it is equal to n+sod(n) for n = 223293 and 223302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223314.

It is not an unprimeable number, because it can be changed into a prime (223313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2223314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275520).

223314 is an abundant number, since it is smaller than the sum of its proper divisors (327726).

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

223314 is a wasteful number, since it uses less digits than its factorization.

223314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434.

The product of its digits is 144, while the sum is 15.

The square root of 223314 is about 472.5611071597. The cubic root of 223314 is about 60.6697190161.

Adding to 223314 its reverse (413322), we get a palindrome (636636).

The spelling of 223314 in words is "two hundred twenty-three thousand, three hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 409 546 818 1227 2454 2863 5317 5726 8589 10634 15951 17178 31902 37219 74438 111657 223314