Search a number
-
+
14024214 = 2323141613
BaseRepresentation
bin110101011111…
…111000010110
3222101111121100
4311133320112
512042233324
61220330530
7230126631
oct65377026
928344540
1014024214
117a09666
124843a46
132ba0469
141c10c18
1513704c9
hexd5fe16

14024214 has 48 divisors (see below), whose sum is σ = 32183424. Its totient is φ = 4406400.

The previous prime is 14024209. The next prime is 14024237. The reversal of 14024214 is 41242041.

It is a super-3 number, since 3×140242143 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22572 + ... + 23184.

It is an arithmetic number, because the mean of its divisors is an integer number (670488).

Almost surely, 214024214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14024214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16091712).

14024214 is an abundant number, since it is smaller than the sum of its proper divisors (18159210).

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

14024214 is a wasteful number, since it uses less digits than its factorization.

14024214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14024214 is about 3744.8917207311. The cubic root of 14024214 is about 241.1530968261.

Adding to 14024214 its reverse (41242041), we get a palindrome (55266255).

The spelling of 14024214 in words is "fourteen million, twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 613 738 1226 1271 1839 2542 3678 3813 5517 7626 11034 11439 19003 22878 25133 38006 50266 57009 75399 114018 150798 171027 226197 342054 452394 779123 1558246 2337369 4674738 7012107 14024214