Search a number
-
+
2135224231 = 73137733643
BaseRepresentation
bin111111101000100…
…1110111110100111
312111210210121222221
41333101032332213
513333104133411
6551513133211
7103625051350
oct17721167647
95453717887
102135224231
119a6307628
124b70ba207
132804a19ba
14163818d27
15c76c4071
hex7f44efa7

2135224231 has 32 divisors (see below), whose sum is σ = 2623213568. Its totient is φ = 1699211520.

The previous prime is 2135224207. The next prime is 2135224243. The reversal of 2135224231 is 1324225312.

It is a cyclic number.

It is not a de Polignac number, because 2135224231 - 29 = 2135223719 is a prime.

It is a super-2 number, since 2×21352242312 = 9118365033299082722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2135224196 and 2135224205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135224261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584296 + ... + 587938.

It is an arithmetic number, because the mean of its divisors is an integer number (81975424).

Almost surely, 22135224231 is an apocalyptic number.

2135224231 is a deficient number, since it is larger than the sum of its proper divisors (487989337).

2135224231 is a wasteful number, since it uses less digits than its factorization.

2135224231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791.

The product of its digits is 2880, while the sum is 25.

The square root of 2135224231 is about 46208.4865690276. The cubic root of 2135224231 is about 1287.6994091615.

Adding to 2135224231 its reverse (1324225312), we get a palindrome (3459449543).

The spelling of 2135224231 in words is "two billion, one hundred thirty-five million, two hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 7 31 37 73 217 259 511 1147 2263 2701 3643 8029 15841 18907 25501 83731 112933 134791 265939 586117 790531 943537 1861573 4178521 8244109 9839743 29249647 57708763 68878201 305032033 2135224231