Search a number
-
+
2233014313 is a prime number
BaseRepresentation
bin1000010100011001…
…0001100000101001
312202121210212202211
42011012101200221
514033122424223
61005325125121
7106223210545
oct20506214051
95677725684
102233014313
11a46529782
125239b97a1
1329782065a
141727d2a25
15d108dd0d
hex85191829

2233014313 has 2 divisors, whose sum is σ = 2233014314. Its totient is φ = 2233014312.

The previous prime is 2233014307. The next prime is 2233014319. The reversal of 2233014313 is 3134103322.

It is a balanced prime because it is at equal distance from previous prime (2233014307) and next prime (2233014319).

It can be written as a sum of positive squares in only one way, i.e., 1736972329 + 496041984 = 41677^2 + 22272^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233014313 - 229 = 1696143401 is a prime.

It is a super-3 number, since 3×22330143133 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2233014319) 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 as a sum of consecutive naturals, namely, 1116507156 + 1116507157.

It is an arithmetic number, because the mean of its divisors is an integer number (1116507157).

Almost surely, 22233014313 is an apocalyptic number.

It is an amenable number.

2233014313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233014313 is an equidigital number, since it uses as much as digits as its factorization.

2233014313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2233014313 is about 47254.7808480793. The cubic root of 2233014313 is about 1307.0649502227.

Adding to 2233014313 its reverse (3134103322), we get a palindrome (5367117635).

The spelling of 2233014313 in words is "two billion, two hundred thirty-three million, fourteen thousand, three hundred thirteen".