Search a number
-
+
14222142 = 2341123347
BaseRepresentation
bin110110010000…
…001100111110
3222202120010000
4312100030332
512120102032
61224455130
7231612654
oct66201476
928676100
1014222142
118034340
12491a4a6
132c3c58c
141c62dd4
1513ade7c
hexd9033e

14222142 has 80 divisors (see below), whose sum is σ = 36381312. Its totient is φ = 4110480.

The previous prime is 14222141. The next prime is 14222147. The reversal of 14222142 is 24122241.

14222142 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40813 + ... + 41159.

Almost surely, 214222142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14222142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190656).

14222142 is an abundant number, since it is smaller than the sum of its proper divisors (22159170).

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

14222142 is a wasteful number, since it uses less digits than its factorization.

14222142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

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

The square root of 14222142 is about 3771.2255302488. The cubic root of 14222142 is about 242.2822901681.

Adding to 14222142 its reverse (24122241), we get a palindrome (38344383).

Subtracting 14222142 from its reverse (24122241), we obtain a palindrome (9900099).

The spelling of 14222142 in words is "fourteen million, two hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 347 414 506 594 621 694 759 891 1041 1242 1518 1782 1863 2082 2277 3123 3726 3817 4554 6246 6831 7634 7981 9369 11451 13662 15962 18738 20493 22902 23943 28107 34353 40986 47886 56214 68706 71829 87791 103059 143658 175582 206118 215487 263373 309177 430974 526746 618354 646461 790119 1292922 1580238 2370357 4740714 7111071 14222142