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2305130256 = 24321113279109
BaseRepresentation
bin1000100101100101…
…0111111100010000
312221122111202020200
42021121113330100
514210103132011
61020422535200
7111060166242
oct21131277420
95848452220
102305130256
11a83205530
12543b97500
132a9750300
1417c206092
15d7586856
hex89657f10

2305130256 has 360 divisors, whose sum is σ = 7787894400. Its totient is φ = 630789120.

The previous prime is 2305130251. The next prime is 2305130257. The reversal of 2305130256 is 6520315032.

2305130256 is a `hidden beast` number, since 2 + 305 + 1 + 302 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (2305130251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21147930 + ... + 21148038.

It is an arithmetic number, because the mean of its divisors is an integer number (21633040).

Almost surely, 22305130256 is an apocalyptic number.

2305130256 is a gapful number since it is divisible by the number (26) 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 2305130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893947200).

2305130256 is an abundant number, since it is smaller than the sum of its proper divisors (5482764144).

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

2305130256 is a wasteful number, since it uses less digits than its factorization.

2305130256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2305130256 is about 48011.7720564447. The cubic root of 2305130256 is about 1320.9868378094.

Adding to 2305130256 its reverse (6520315032), we get a palindrome (8825445288).

The spelling of 2305130256 in words is "two billion, three hundred five million, one hundred thirty thousand, two hundred fifty-six".