Search a number
-
+
2300221305 = 325181282409
BaseRepresentation
bin1000100100011010…
…1001011101111001
312221022021100102200
42021012221131321
514202324040210
61020125420413
7111000362364
oct21106513571
95838240380
102300221305
11a80462348
1254240a709
132a8721ac5
1417b6c90db
15d6e170c0
hex891a9779

2300221305 has 24 divisors (see below), whose sum is σ = 4009092360. Its totient is φ = 1220002560.

The previous prime is 2300221277. The next prime is 2300221307. The reversal of 2300221305 is 5031220032.

2300221305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 152176896 + 2148044409 = 12336^2 + 46347^2 .

It is not a de Polignac number, because 2300221305 - 26 = 2300221241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2300221307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133060 + ... + 149349.

It is an arithmetic number, because the mean of its divisors is an integer number (167045515).

Almost surely, 22300221305 is an apocalyptic number.

It is an amenable number.

2300221305 is a deficient number, since it is larger than the sum of its proper divisors (1708871055).

2300221305 is a wasteful number, since it uses less digits than its factorization.

2300221305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282601 (or 282598 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2300221305 is about 47960.6224417490. The cubic root of 2300221305 is about 1320.0484572431.

Adding to 2300221305 its reverse (5031220032), we get a palindrome (7331441337).

The spelling of 2300221305 in words is "two billion, three hundred million, two hundred twenty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 181 543 905 1629 2715 8145 282409 847227 1412045 2541681 4236135 12708405 51116029 153348087 255580145 460044261 766740435 2300221305