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2300225525 = 52137077617
BaseRepresentation
bin1000100100011010…
…1010011111110101
312221022021120012222
42021012222133311
514202324204100
61020125452125
7111000410603
oct21106523765
95838246188
102300225525
11a80465534
12542411045
132a87239c0
1417b6ca873
15d6e18485
hex891aa7f5

2300225525 has 12 divisors (see below), whose sum is σ = 3071686212. Its totient is φ = 1698627840.

The previous prime is 2300225503. The next prime is 2300225527. The reversal of 2300225525 is 5255220032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 863360689 + 1436864836 = 29383^2 + 37906^2 .

It is not a de Polignac number, because 2300225525 - 220 = 2299176949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2300225494 and 2300225503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300225527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3538484 + ... + 3539133.

It is an arithmetic number, because the mean of its divisors is an integer number (255973851).

Almost surely, 22300225525 is an apocalyptic number.

2300225525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2300225525 is a deficient number, since it is larger than the sum of its proper divisors (771460687).

2300225525 is a wasteful number, since it uses less digits than its factorization.

2300225525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077640 (or 7077635 counting only the distinct ones).

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

The square root of 2300225525 is about 47960.6664361537. Note that the first 3 decimals coincide. The cubic root of 2300225525 is about 1320.0492644990.

Adding to 2300225525 its reverse (5255220032), we get a palindrome (7555445557).

The spelling of 2300225525 in words is "two billion, three hundred million, two hundred twenty-five thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 325 7077617 35388085 92009021 176940425 460045105 2300225525