Search a number
-
+
2319282096 = 243234151239
BaseRepresentation
bin1000101000111101…
…0110111110110000
312222122010201220220
42022033112332300
514222214011341
61022050133040
7111321400245
oct21217267660
95878121826
102319282096
11a901a0a6a
12548881180
132ac666891
1418004b5cc
15d892ea66
hex8a3d6fb0

2319282096 has 80 divisors (see below), whose sum is σ = 6404590080. Its totient is φ = 721431040.

The previous prime is 2319282083. The next prime is 2319282109. The reversal of 2319282096 is 6902829132.

It is an interprime number because it is at equal distance from previous prime (2319282083) and next prime (2319282109).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19645 + ... + 70883.

It is an arithmetic number, because the mean of its divisors is an integer number (80057376).

Almost surely, 22319282096 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 2319282096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202295040).

2319282096 is an abundant number, since it is smaller than the sum of its proper divisors (4085307984).

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

2319282096 is a wasteful number, since it uses less digits than its factorization.

2319282096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51314 (or 51308 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2319282096 is about 48158.9254032936. The cubic root of 2319282096 is about 1323.6846271666.

The spelling of 2319282096 in words is "two billion, three hundred nineteen million, two hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 5658 7544 11316 15088 22632 45264 51239 102478 153717 204956 307434 409912 614868 819824 1178497 1229736 2100799 2356994 2459472 3535491 4201598 4713988 6302397 7070982 8403196 9427976 12604794 14141964 16806392 18855952 25209588 28283928 33612784 48318377 50419176 56567856 96636754 100838352 144955131 193273508 289910262 386547016 579820524 773094032 1159641048 2319282096