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2330310112 = 251341317431
BaseRepresentation
bin1000101011100101…
…1011010111100000
320000101220000111221
42022321123113200
514233024410422
61023122344424
7111514211014
oct21271332740
96011800457
102330310112
11a96443529
125504bb114
132b1a28330
141816bc544
15d98ac3c7
hex8ae5b5e0

2330310112 has 96 divisors (see below), whose sum is σ = 5088956544. Its totient is φ = 1043558400.

The previous prime is 2330310107. The next prime is 2330310127. The reversal of 2330310112 is 2110130332.

2330310112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5406537 + ... + 5406967.

It is an arithmetic number, because the mean of its divisors is an integer number (53009964).

Almost surely, 22330310112 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 2330310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544478272).

2330310112 is an abundant number, since it is smaller than the sum of its proper divisors (2758646432).

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

2330310112 is a wasteful number, since it uses less digits than its factorization.

2330310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2330310112 is about 48273.2856971638. The cubic root of 2330310112 is about 1325.7793183551.

Adding to 2330310112 its reverse (2110130332), we get a palindrome (4440440444).

The spelling of 2330310112 in words is "two billion, three hundred thirty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 317 328 416 431 533 634 656 862 1066 1268 1312 1724 2132 2536 3448 4121 4264 5072 5603 6896 8242 8528 10144 11206 12997 13792 16484 17056 17671 22412 25994 32968 35342 44824 51988 65936 70684 89648 103976 131872 136627 141368 168961 179296 207952 229723 273254 282736 337922 415904 459446 546508 565472 675844 918892 1093016 1351688 1776151 1837784 2186032 2703376 3552302 3675568 4372064 5406752 5601707 7104604 7351136 11203414 14209208 22406828 28418416 44813656 56836832 72822191 89627312 145644382 179254624 291288764 582577528 1165155056 2330310112