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2221313233 is a prime number
BaseRepresentation
bin1000010001100110…
…1000110011010001
312201210210101220111
42010121220303101
514022124010413
61004230241321
7106021564606
oct20431506321
95653711814
102221313233
11a3a967567
1251bab6241
13295284739
141710286ad
15d002bd3d
hex84668cd1

2221313233 has 2 divisors, whose sum is σ = 2221313234. Its totient is φ = 2221313232.

The previous prime is 2221313219. The next prime is 2221313257. The reversal of 2221313233 is 3323131222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1518427089 + 702886144 = 38967^2 + 26512^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221313233 - 29 = 2221312721 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221313273) by changing a digit.

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 as a sum of consecutive naturals, namely, 1110656616 + 1110656617.

It is an arithmetic number, because the mean of its divisors is an integer number (1110656617).

Almost surely, 22221313233 is an apocalyptic number.

It is an amenable number.

2221313233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221313233 is an equidigital number, since it uses as much as digits as its factorization.

2221313233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 22.

The square root of 2221313233 is about 47130.8098063252. The cubic root of 2221313233 is about 1304.7779274992. Note that the first 3 decimals are identical.

Adding to 2221313233 its reverse (3323131222), we get a palindrome (5544444455).

The spelling of 2221313233 in words is "two billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred thirty-three".