Search a number
-
+
2325012534 = 23213291512269
BaseRepresentation
bin1000101010010100…
…1110000000110110
320000000220212121100
42022211032000312
514230200400114
61022413030530
7111421165125
oct21245160066
96000825540
102325012534
11a93455369
1254a785446
132b08c1c80
14180addabc
15d91b2909
hex8a94e036

2325012534 has 96 divisors (see below), whose sum is σ = 5651755200. Its totient is φ = 685843200.

The previous prime is 2325012491. The next prime is 2325012541. The reversal of 2325012534 is 4352105232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2325012498 and 2325012507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023552 + ... + 1025820.

It is an arithmetic number, because the mean of its divisors is an integer number (58872450).

Almost surely, 22325012534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325012534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825877600).

2325012534 is an abundant number, since it is smaller than the sum of its proper divisors (3326742666).

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

2325012534 is a wasteful number, since it uses less digits than its factorization.

2325012534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2325012534 is about 48218.3837763150. The cubic root of 2325012534 is about 1324.7739087828.

Adding to 2325012534 its reverse (4352105232), we get a palindrome (6677117766).

The spelling of 2325012534 in words is "two billion, three hundred twenty-five million, twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 151 174 234 261 302 377 453 522 754 906 1131 1359 1963 2262 2269 2718 3393 3926 4379 4538 5889 6786 6807 8758 11778 13137 13614 17667 20421 26274 29497 35334 39411 40842 56927 58994 65801 78822 88491 113854 131602 170781 176982 197403 265473 341562 342619 394806 512343 530946 592209 685238 855413 1024686 1027857 1184418 1710826 2055714 2566239 3083571 4454047 5132478 6167142 7698717 8908094 9935951 13362141 15397434 19871902 26724282 29807853 40086423 59615706 80172846 89423559 129167363 178847118 258334726 387502089 775004178 1162506267 2325012534