Search a number
-
+
14230242 = 2341329233
BaseRepresentation
bin110110010010…
…001011100010
3222202222020000
4312102023202
512120331432
61225000430
7231645405
oct66221342
928688200
1014230242
11803a434
124923116
132c43180
141c65d3c
1513b157c
hexd922e2

14230242 has 80 divisors (see below), whose sum is σ = 35675640. Its totient is φ = 4209408.

The previous prime is 14230231. The next prime is 14230243. The reversal of 14230242 is 24203241.

14230242 is a `hidden beast` number, since 1 + 423 + 0 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7834401 + 6395841 = 2799^2 + 2529^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14230243) 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, 60958 + ... + 61190.

Almost surely, 214230242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14230242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820).

14230242 is an abundant number, since it is smaller than the sum of its proper divisors (21445398).

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

14230242 is a wasteful number, since it uses less digits than its factorization.

14230242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14230242 is about 3772.2992988362. The cubic root of 14230242 is about 242.3282774767.

Adding to 14230242 its reverse (24203241), we get a palindrome (38433483).

The spelling of 14230242 in words is "fourteen million, two hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 233 234 261 351 377 466 522 699 702 754 783 1053 1131 1398 1566 2097 2106 2262 2349 3029 3393 4194 4698 6058 6291 6757 6786 9087 10179 12582 13514 18174 18873 20271 20358 27261 30537 37746 40542 54522 60813 61074 81783 87841 121626 163566 175682 182439 245349 263523 364878 490698 527046 547317 790569 1094634 1581138 2371707 4743414 7115121 14230242