Search a number
-
+
3322033333 is a prime number
BaseRepresentation
bin1100011000000010…
…0011010010110101
322120111222210000121
43012000203102311
523300420031313
61305350411541
7145215550243
oct30600432265
98514883017
103322033333
1114552238a3
12788660bb1
1340c3280c8
142372b3793
151469a628d
hexc60234b5

3322033333 has 2 divisors, whose sum is σ = 3322033334. Its totient is φ = 3322033332.

The previous prime is 3322033331. The next prime is 3322033349. The reversal of 3322033333 is 3333302233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3217952529 + 104080804 = 56727^2 + 10202^2 .

It is a cyclic number.

It is not a de Polignac number, because 3322033333 - 21 = 3322033331 is a prime.

It is a super-2 number, since 2×33220333332 = 22071810931126177778, which contains 22 as substring.

Together with 3322033331, it forms a pair of twin primes.

3322033333 is a modest number, since divided by 33333 gives 33220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3322033298 and 3322033307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3322033331) 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, 1661016666 + 1661016667.

It is an arithmetic number, because the mean of its divisors is an integer number (1661016667).

Almost surely, 23322033333 is an apocalyptic number.

It is an amenable number.

3322033333 is a deficient number, since it is larger than the sum of its proper divisors (1).

3322033333 is an equidigital number, since it uses as much as digits as its factorization.

3322033333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 25.

The square root of 3322033333 is about 57637.0829674785. The cubic root of 3322033333 is about 1492.1116753122. Note that the first 3 decimals are identical.

Adding to 3322033333 its reverse (3333302233), we get a palindrome (6655335566).

The spelling of 3322033333 in words is "three billion, three hundred twenty-two million, thirty-three thousand, three hundred thirty-three".