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2305255040 = 27511232619
BaseRepresentation
bin1000100101100111…
…0110011010000000
312221122202002102022
42021121312122000
514210121130130
61020425341012
7111061226114
oct21131663200
95848662368
102305255040
11a83290260
12544037768
132a979504a
1417c239744
15d75ad7e5
hex89676680

2305255040 has 192 divisors, whose sum is σ = 6294909600. Its totient is φ = 800532480.

The previous prime is 2305255027. The next prime is 2305255081. The reversal of 2305255040 is 405525032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3723851 + ... + 3724469.

Almost surely, 22305255040 is an apocalyptic number.

2305255040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147454800).

2305255040 is an abundant number, since it is smaller than the sum of its proper divisors (3989654560).

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

2305255040 is a wasteful number, since it uses less digits than its factorization.

2305255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 2305255040 is about 48013.0715534843. The cubic root of 2305255040 is about 1321.0106737795.

The spelling of 2305255040 in words is "two billion, three hundred five million, two hundred fifty-five thousand, forty".