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2325000768 = 263671491213
BaseRepresentation
bin1000101010010100…
…1011001001000000
320000000220021110120
42022211023021000
514230200011033
61022412500240
7111421115616
oct21245131100
96000807416
102325000768
11a93447542
1254a77a680
132b08b97cc
14180ad96b6
15d91ae1b3
hex8a94b240

2325000768 has 112 divisors (see below), whose sum is σ = 6290462400. Its totient is φ = 757684224.

The previous prime is 2325000761. The next prime is 2325000773. The reversal of 2325000768 is 8670005232.

It is not an unprimeable number, because it can be changed into a prime (2325000761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916130 + ... + 1917342.

Almost surely, 22325000768 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 2325000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145231200).

2325000768 is an abundant number, since it is smaller than the sum of its proper divisors (3965461632).

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

2325000768 is a wasteful number, since it uses less digits than its factorization.

2325000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2325000768 is about 48218.2617687531. The cubic root of 2325000768 is about 1324.7716740542.

The spelling of 2325000768 in words is "two billion, three hundred twenty-five million, seven hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 149 192 201 268 298 402 447 536 596 804 894 1072 1192 1213 1608 1788 2144 2384 2426 3216 3576 3639 4288 4768 4852 6432 7152 7278 9536 9704 9983 12864 14304 14556 19408 19966 28608 29112 29949 38816 39932 58224 59898 77632 79864 81271 116448 119796 159728 162542 180737 232896 239592 243813 319456 325084 361474 479184 487626 542211 638912 650168 722948 958368 975252 1084422 1300336 1445896 1916736 1950504 2168844 2600672 2891792 3901008 4337688 5201344 5783584 7802016 8675376 11567168 12109379 15604032 17350752 24218758 34701504 36328137 48437516 72656274 96875032 145312548 193750064 290625096 387500128 581250192 775000256 1162500384 2325000768