Search a number
-
+
2220310313 = 131723436811
BaseRepresentation
bin1000010001010111…
…0011111100101001
312201201220110011022
42010111303330221
514021344412223
61004152542225
7106010216624
oct20425637451
95651813138
102220310313
11a3a342001
1251b6b1975
13294cc30b0
14170c46dbb
15cedceac8
hex84573f29

2220310313 has 16 divisors (see below), whose sum is σ = 2641838976. Its totient is φ = 1845085440.

The previous prime is 2220310283. The next prime is 2220310331. The reversal of 2220310313 is 3130130222.

2220310313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2220310313 - 26 = 2220310249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2220310291 and 2220310300.

It is not an unprimeable number, because it can be changed into a prime (2220310373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213323 + ... + 223488.

It is an arithmetic number, because the mean of its divisors is an integer number (165114936).

Almost surely, 22220310313 is an apocalyptic number.

2220310313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2220310313 is a deficient number, since it is larger than the sum of its proper divisors (421528663).

2220310313 is a wasteful number, since it uses less digits than its factorization.

2220310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436864.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2220310313 is about 47120.1688558095. The cubic root of 2220310313 is about 1304.5815294330.

Adding to 2220310313 its reverse (3130130222), we get a palindrome (5350440535).

The spelling of 2220310313 in words is "two billion, two hundred twenty million, three hundred ten thousand, three hundred thirteen".

Divisors: 1 13 17 23 221 299 391 5083 436811 5678543 7425787 10046653 96535231 130606489 170793101 2220310313