Search a number
-
+
33222003321349 is a prime number
BaseRepresentation
bin1111000110111000110011…
…01101001110101000000101
311100121222210112101020221101
413203130121231032220011
513323302130322240344
6154353551100220101
76666132132631243
oct743343155165005
9140558715336841
1033222003321349
11a649410862a27
12388679183a631
13156ca8aa03c9b
1482bd4c72b793
153c92a95299d4
hex1e3719b4ea05

33222003321349 has 2 divisors, whose sum is σ = 33222003321350. Its totient is φ = 33222003321348.

The previous prime is 33222003321323. The next prime is 33222003321389. The reversal of 33222003321349 is 94312330022233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26390669724225 + 6831333597124 = 5137185^2 + 2613682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33222003321349 is a prime.

It is a super-2 number, since 2×332220033213492 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33222003321389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16611001660674 + 16611001660675.

It is an arithmetic number, because the mean of its divisors is an integer number (16611001660675).

Almost surely, 233222003321349 is an apocalyptic number.

It is an amenable number.

33222003321349 is a deficient number, since it is larger than the sum of its proper divisors (1).

33222003321349 is an equidigital number, since it uses as much as digits as its factorization.

33222003321349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 37.

The spelling of 33222003321349 in words is "thirty-three trillion, two hundred twenty-two billion, three million, three hundred twenty-one thousand, three hundred forty-nine".