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14225328 = 24331317149
BaseRepresentation
bin110110010000…
…111110110000
3222202201111000
4312100332300
512120202303
61224522000
7231625155
oct66207660
928681430
1014225328
118036777
124920300
132c40b70
141c6422c
1513aeda3
hexd90fb0

14225328 has 160 divisors (see below), whose sum is σ = 46872000. Its totient is φ = 4091904.

The previous prime is 14225327. The next prime is 14225371. The reversal of 14225328 is 82352241.

14225328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14225327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95398 + ... + 95546.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 214225328 is an apocalyptic number.

14225328 is a gapful number since it is divisible by the number (18) 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 14225328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436000).

14225328 is an abundant number, since it is smaller than the sum of its proper divisors (32646672).

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

14225328 is a wasteful number, since it uses less digits than its factorization.

14225328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14225328 is about 3771.6479156994. The cubic root of 14225328 is about 242.3003805922.

Adding to 14225328 its reverse (82352241), we get a palindrome (96577569).

The spelling of 14225328 in words is "fourteen million, two hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 149 153 156 204 208 216 221 234 272 298 306 312 351 408 432 442 447 459 468 596 612 624 663 702 816 884 894 918 936 1192 1224 1326 1341 1404 1768 1788 1836 1872 1937 1989 2384 2448 2533 2652 2682 2808 3536 3576 3672 3874 3978 4023 5066 5304 5364 5616 5811 5967 7152 7344 7599 7748 7956 8046 10132 10608 10728 11622 11934 15198 15496 15912 16092 17433 20264 21456 22797 23244 23868 30396 30992 31824 32184 32929 34866 40528 45594 46488 47736 52299 60792 64368 65858 68391 69732 91188 92976 95472 98787 104598 121584 131716 136782 139464 182376 197574 209196 263432 273564 278928 296361 364752 395148 418392 526864 547128 592722 790296 836784 889083 1094256 1185444 1580592 1778166 2370888 3556332 4741776 7112664 14225328