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2328883120 = 245120124239
BaseRepresentation
bin1000101011001111…
…1110111110110000
320000022012112001101
42022303332332300
514232143224440
61023032014144
7111466115464
oct21263767660
96008175041
102328883120
11a956593a3
1254bb31354
132b1648965
1418142a4a4
15d96c969a
hex8acfefb0

2328883120 has 40 divisors (see below), whose sum is σ = 5419385280. Its totient is φ = 930739200.

The previous prime is 2328883099. The next prime is 2328883129. The reversal of 2328883120 is 213888232.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2328883120.

It is not an unprimeable number, because it can be changed into a prime (2328883129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83961 + ... + 108199.

It is an arithmetic number, because the mean of its divisors is an integer number (135484632).

Almost surely, 22328883120 is an apocalyptic number.

2328883120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2328883120 is an abundant number, since it is smaller than the sum of its proper divisors (3090502160).

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

2328883120 is a wasteful number, since it uses less digits than its factorization.

2328883120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25453 (or 25447 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 2328883120 is about 48258.5030849487. The cubic root of 2328883120 is about 1325.5086443973.

The spelling of 2328883120 in words is "two billion, three hundred twenty-eight million, eight hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1201 2402 4804 6005 9608 12010 19216 24020 24239 48040 48478 96080 96956 121195 193912 242390 387824 484780 969560 1939120 29111039 58222078 116444156 145555195 232888312 291110390 465776624 582220780 1164441560 2328883120