Search a number
-
+
14329224 = 2339713
BaseRepresentation
bin110110101010…
…010110001000
3222222000000000
4312222112020
512132013344
61231043000
7232540110
oct66522610
928860000
1014329224
1180a7838
124970460
132c79240
141c90040
1513d0a69
hexdaa588

14329224 has 160 divisors (see below), whose sum is σ = 49600320. Its totient is φ = 3779136.

The previous prime is 14329199. The next prime is 14329229. The reversal of 14329224 is 42292341.

14329224 is a `hidden beast` number, since 1 + 432 + 9 + 224 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 3.

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 (14329229) 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 39 ways as a sum of consecutive naturals, for example, 1102242 + ... + 1102254.

It is an arithmetic number, because the mean of its divisors is an integer number (310002).

Almost surely, 214329224 is an apocalyptic number.

14329224 is a gapful number since it is divisible by the number (14) 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 14329224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24800160).

14329224 is an abundant number, since it is smaller than the sum of its proper divisors (35271096).

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

14329224 is an frugal number, since it uses more digits than its factorization.

14329224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14329224 is about 3785.3961483575. The cubic root of 14329224 is about 242.8888380449. Note that the first 4 decimals are identical.

The spelling of 14329224 in words is "fourteen million, three hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 243 252 273 312 324 351 364 378 468 486 504 546 567 648 702 728 729 756 819 936 972 1053 1092 1134 1404 1458 1512 1638 1701 1944 2106 2184 2187 2268 2457 2808 2916 3159 3276 3402 4212 4374 4536 4914 5103 5832 6318 6552 6561 6804 7371 8424 8748 9477 9828 10206 12636 13122 13608 14742 15309 17496 18954 19656 19683 20412 22113 25272 26244 28431 29484 30618 37908 39366 40824 44226 45927 52488 56862 58968 61236 66339 75816 78732 85293 88452 91854 113724 122472 132678 137781 157464 170586 176904 183708 199017 227448 255879 265356 275562 341172 367416 398034 511758 530712 551124 597051 682344 796068 1023516 1102248 1194102 1592136 1791153 2047032 2388204 3582306 4776408 7164612 14329224