Search a number
-
+
21252231 = 32721113337
BaseRepresentation
bin101000100010…
…0100010000111
31110222201120200
41101010202013
520420032411
62035301543
7345432600
oct121044207
943881520
1021252231
1110aa6130
12714a8b3
1345313b0
142b72da7
151cebe56
hex1444887

21252231 has 72 divisors (see below), whose sum is σ = 42076944. Its totient is φ = 10160640.

The previous prime is 21252223. The next prime is 21252239. The reversal of 21252231 is 13225212.

It is an interprime number because it is at equal distance from previous prime (21252223) and next prime (21252239).

It is not a de Polignac number, because 21252231 - 23 = 21252223 is a prime.

It is a super-2 number, since 2×212522312 = 903314644954722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21252239) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62895 + ... + 63231.

It is an arithmetic number, because the mean of its divisors is an integer number (584402).

Almost surely, 221252231 is an apocalyptic number.

21252231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21252231 is a deficient number, since it is larger than the sum of its proper divisors (20824713).

21252231 is a wasteful number, since it uses less digits than its factorization.

21252231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 21252231 is about 4610.0142082211. The cubic root of 21252231 is about 276.9926058143.

Adding to 21252231 its reverse (13225212), we get a palindrome (34477443).

It can be divided in two parts, 2125 and 2231, that added together give a square (4356 = 662).

The spelling of 21252231 in words is "twenty-one million, two hundred fifty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 337 429 441 539 637 693 819 1001 1011 1287 1617 1911 2359 3003 3033 3707 4381 4851 5733 7007 7077 9009 11121 13143 16513 21021 21231 25949 30667 33363 39429 48191 49539 63063 77847 92001 144573 148617 181643 214669 233541 276003 337337 433719 544929 644007 1012011 1634787 1932021 2361359 3036033 7084077 21252231