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14223424 = 26172769
BaseRepresentation
bin110110010000…
…100001000000
3222202121212111
4312100201000
512120122144
61224505104
7231616465
oct66204100
928677774
1014223424
1180352a6
12491b194
132c40037
141c6366c
1513ae534
hexd90840

14223424 has 42 divisors (see below), whose sum is σ = 30021530. Its totient is φ = 6684672.

The previous prime is 14223421. The next prime is 14223437. The reversal of 14223424 is 42432241.

It is a happy number.

14223424 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 4981824 + 9241600 = 2232^2 + 3040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14223395 and 14223404.

It is not an unprimeable number, because it can be changed into a prime (14223421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18112 + ... + 18880.

Almost surely, 214223424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010765).

14223424 is an abundant number, since it is smaller than the sum of its proper divisors (15798106).

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

14223424 is an equidigital number, since it uses as much as digits as its factorization.

14223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 788 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 14223424 is about 3771.3954976905. The cubic root of 14223424 is about 242.2895698161.

Adding to 14223424 its reverse (42432241), we get a palindrome (56655665).

The spelling of 14223424 in words is "fourteen million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 769 1088 1156 1538 2312 3076 4624 6152 9248 12304 13073 18496 24608 26146 49216 52292 104584 209168 222241 418336 444482 836672 888964 1777928 3555856 7111712 14223424