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2300648225 = 52110982981
BaseRepresentation
bin1000100100100001…
…0001101100100001
312221100002001001112
42021020101230201
514202431220400
61020142513105
7111004121141
oct21110215441
95840061045
102300648225
11a80724077
12542595795
132a8841215
1417b79a921
15d6e9d835
hex89211b21

2300648225 has 12 divisors (see below), whose sum is σ = 2855410620. Its totient is φ = 1838836800.

The previous prime is 2300648219. The next prime is 2300648227. The reversal of 2300648225 is 5228460032.

It can be written as a sum of positive squares in 6 ways, for example, as 653262481 + 1647385744 = 25559^2 + 40588^2 .

It is not a de Polignac number, because 2300648225 - 220 = 2299599649 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2300648191 and 2300648200.

It is not an unprimeable number, because it can be changed into a prime (2300648227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13766 + ... + 69215.

It is an arithmetic number, because the mean of its divisors is an integer number (237950885).

Almost surely, 22300648225 is an apocalyptic number.

2300648225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2300648225 is a deficient number, since it is larger than the sum of its proper divisors (554762395).

2300648225 is a wasteful number, since it uses less digits than its factorization.

2300648225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84100 (or 84095 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2300648225 is about 47965.0729698184. The cubic root of 2300648225 is about 1320.1301189836.

The spelling of 2300648225 in words is "two billion, three hundred million, six hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 1109 5545 27725 82981 414905 2074525 92025929 460129645 2300648225