Search a number
-
+
114221331 = 32719372579
BaseRepresentation
bin1101100111011…
…10000100010011
321221221001012200
412303232010103
5213220040311
615200054243
72554602540
oct663560423
9257831180
10114221331
11595251a4
1232304383
131a8828b3
1411253bc7
15a063556
hex6cee113

114221331 has 48 divisors (see below), whose sum is σ = 203923200. Its totient is φ = 60139584.

The previous prime is 114221311. The next prime is 114221333. The reversal of 114221331 is 133122411.

114221331 is a `hidden beast` number, since 114 + 221 + 331 = 666.

It is not a de Polignac number, because 114221331 - 25 = 114221299 is a prime.

It is a super-2 number, since 2×1142213312 = 26093024910823122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114221333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43000 + ... + 45578.

It is an arithmetic number, because the mean of its divisors is an integer number (4248400).

Almost surely, 2114221331 is an apocalyptic number.

114221331 is a deficient number, since it is larger than the sum of its proper divisors (89701869).

114221331 is a wasteful number, since it uses less digits than its factorization.

114221331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2645 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 114221331 is about 10687.4379998202. The cubic root of 114221331 is about 485.1943543870.

Adding to 114221331 its reverse (133122411), we get a palindrome (247343742).

It can be divided in two parts, 114 and 221331, that added together give a triangular number (221445 = T665).

The spelling of 114221331 in words is "one hundred fourteen million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 37 57 63 111 133 171 259 333 399 703 777 1197 2109 2331 2579 4921 6327 7737 14763 18053 23211 44289 49001 54159 95423 147003 162477 286269 343007 441009 667961 858807 1029021 1813037 2003883 3087063 5439111 6011649 12691259 16317333 38073777 114221331