Search a number
-
+
2325012064 = 251943113787
BaseRepresentation
bin1000101010010100…
…1101111001100000
320000000220211221221
42022211031321200
514230200341224
61022413024424
7111421163554
oct21245157140
96000824857
102325012064
11a93454a81
1254a785114
132b08c19ab
14180add864
15d91b26e4
hex8a94de60

2325012064 has 96 divisors (see below), whose sum is σ = 4980286080. Its totient is φ = 1064835072.

The previous prime is 2325012061. The next prime is 2325012071. The reversal of 2325012064 is 4602105232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325012061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953879 + ... + 2954665.

It is an arithmetic number, because the mean of its divisors is an integer number (51877980).

Almost surely, 22325012064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490143040).

2325012064 is an abundant number, since it is smaller than the sum of its proper divisors (2655274016).

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

2325012064 is a wasteful number, since it uses less digits than its factorization.

2325012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

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

The square root of 2325012064 is about 48218.3789026550. The cubic root of 2325012064 is about 1324.7738195154.

Adding to 2325012064 its reverse (4602105232), we get a palindrome (6927117296).

The spelling of 2325012064 in words is "two billion, three hundred twenty-five million, twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 113 152 172 226 304 344 452 608 688 787 817 904 1376 1574 1634 1808 2147 3148 3268 3616 4294 4859 6296 6536 8588 9718 12592 13072 14953 17176 19436 25184 26144 29906 33841 34352 38872 59812 67682 68704 77744 88931 92321 119624 135364 155488 177862 184642 239248 270728 355724 369284 478496 541456 642979 711448 738568 1082912 1285958 1422896 1477136 1689689 2571916 2845792 2954272 3379378 3824033 5143832 6758756 7648066 10287664 13517512 15296132 20575328 27035024 30592264 54070048 61184528 72656627 122369056 145313254 290626508 581253016 1162506032 2325012064