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14224314 = 2313434241
BaseRepresentation
bin110110010000…
…101110111010
3222202200002110
4312100232322
512120134224
61224513150
7231622206
oct66205672
928680073
1014224314
118035a35
12491b7b6
132c40570
141c63b06
1513ae929
hexd90bba

14224314 has 32 divisors (see below), whose sum is σ = 31356864. Its totient is φ = 4273920.

The previous prime is 14224303. The next prime is 14224333. The reversal of 14224314 is 41342241.

It is a super-3 number, since 3×142243143 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 5474.

It is an arithmetic number, because the mean of its divisors is an integer number (979902).

Almost surely, 214224314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678432).

14224314 is an abundant number, since it is smaller than the sum of its proper divisors (17132550).

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

14224314 is a wasteful number, since it uses less digits than its factorization.

14224314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302.

The product of its digits is 768, while the sum is 21.

The square root of 14224314 is about 3771.5134893037. The cubic root of 14224314 is about 242.2946232926.

Adding to 14224314 its reverse (41342241), we get a palindrome (55566555).

The spelling of 14224314 in words is "fourteen million, two hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 3354 4241 8482 12723 25446 55133 110266 165399 182363 330798 364726 547089 1094178 2370719 4741438 7112157 14224314