Search a number
-
+
14251216 = 2471937181
BaseRepresentation
bin110110010111…
…010011010000
3222211000222211
4312113103100
512122014331
61225241504
7232063510
oct66272320
928730884
1014251216
118054171
124933294
132c4c895
141c6d840
1513b78b1
hexd974d0

14251216 has 80 divisors (see below), whose sum is σ = 34303360. Its totient is φ = 5598720.

The previous prime is 14251187. The next prime is 14251217. The reversal of 14251216 is 61215241.

14251216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14251217) 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, 78646 + ... + 78826.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 214251216 is an apocalyptic number.

14251216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14251216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151680).

14251216 is an abundant number, since it is smaller than the sum of its proper divisors (20052144).

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

14251216 is a wasteful number, since it uses less digits than its factorization.

14251216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 14251216 is about 3775.0782773341. The cubic root of 14251216 is about 242.4472751777.

Adding to 14251216 its reverse (61215241), we get a palindrome (75466457).

The spelling of 14251216 in words is "fourteen million, two hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 74 76 112 133 148 152 181 259 266 296 304 362 518 532 592 703 724 1036 1064 1267 1406 1448 2072 2128 2534 2812 2896 3439 4144 4921 5068 5624 6697 6878 9842 10136 11248 13394 13756 19684 20272 24073 26788 27512 39368 46879 48146 53576 55024 78736 93758 96292 107152 127243 187516 192584 254486 375032 385168 508972 750064 890701 1017944 1781402 2035888 3562804 7125608 14251216