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14224266 = 2327791429
BaseRepresentation
bin110110010000…
…101110001010
3222202200000200
4312100232022
512120134031
61224513030
7231622110
oct66205612
928680020
1014224266
1180359a1
12491b776
132c40534
141c63ab0
1513ae8e6
hexd90b8a

14224266 has 48 divisors (see below), whose sum is σ = 35692800. Its totient is φ = 4009824.

The previous prime is 14224261. The next prime is 14224267. The reversal of 14224266 is 66242241.

14224266 is a modest number, since divided by 4266 gives 1422 as remainder.

It is not an unprimeable number, because it can be changed into a prime (14224261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9240 + ... + 10668.

It is an arithmetic number, because the mean of its divisors is an integer number (743600).

Almost surely, 214224266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846400).

14224266 is an abundant number, since it is smaller than the sum of its proper divisors (21468534).

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

14224266 is a wasteful number, since it uses less digits than its factorization.

14224266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1520 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 14224266 is about 3771.5071258053. The cubic root of 14224266 is about 242.2943507510.

The spelling of 14224266 in words is "fourteen million, two hundred twenty-four thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1429 1659 2858 3318 4287 4977 8574 9954 10003 12861 20006 25722 30009 60018 90027 112891 180054 225782 338673 677346 790237 1016019 1580474 2032038 2370711 4741422 7112133 14224266