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2300738085 = 325101506213
BaseRepresentation
bin1000100100100010…
…0111101000100101
312221100020121022200
42021020213220211
514202442104320
61020144445113
7111004644132
oct21110475045
95840217280
102300738085
11a80785638
12542619799
132a88730a9
1417b7c1589
15d6eba290
hex89227a25

2300738085 has 24 divisors (see below), whose sum is σ = 4027438584. Its totient is φ = 1214908800.

The previous prime is 2300738051. The next prime is 2300738117. The reversal of 2300738085 is 5808370032.

It can be written as a sum of positive squares in 4 ways, for example, as 164634561 + 2136103524 = 12831^2 + 46218^2 .

It is not a de Polignac number, because 2300738085 - 29 = 2300737573 is a prime.

It is a Curzon number.

It is a congruent number.

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, 248562 + ... + 257651.

It is an arithmetic number, because the mean of its divisors is an integer number (167809941).

Almost surely, 22300738085 is an apocalyptic number.

It is an amenable number.

2300738085 is a deficient number, since it is larger than the sum of its proper divisors (1726700499).

2300738085 is a wasteful number, since it uses less digits than its factorization.

2300738085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506325 (or 506322 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2300738085 is about 47966.0096839418. The cubic root of 2300738085 is about 1320.1473062191.

The spelling of 2300738085 in words is "two billion, three hundred million, seven hundred thirty-eight thousand, eighty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 506213 1518639 2531065 4555917 7593195 22779585 51127513 153382539 255637565 460147617 766912695 2300738085