Search a number
-
+
33222353 is a prime number
BaseRepresentation
bin111111010111…
…0111011010001
32022111212111112
41332232323101
532001103403
63144023105
7552246113
oct176567321
968455445
1033222353
111783149a
12b161a95
136b628c8
1445ab3b3
152db39d8
hex1faeed1

33222353 has 2 divisors, whose sum is σ = 33222354. Its totient is φ = 33222352.

The previous prime is 33222347. The next prime is 33222377. The reversal of 33222353 is 35322233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29899024 + 3323329 = 5468^2 + 1823^2 .

It is a cyclic number.

It is not a de Polignac number, because 33222353 - 26 = 33222289 is a prime.

It is a super-2 number, since 2×332223532 = 2207449477713218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33222383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16611176 + 16611177.

It is an arithmetic number, because the mean of its divisors is an integer number (16611177).

Almost surely, 233222353 is an apocalyptic number.

It is an amenable number.

33222353 is a deficient number, since it is larger than the sum of its proper divisors (1).

33222353 is an equidigital number, since it uses as much as digits as its factorization.

33222353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 23.

The square root of 33222353 is about 5763.8834998636. The cubic root of 33222353 is about 321.4722299686.

Adding to 33222353 its reverse (35322233), we get a palindrome (68544586).

The spelling of 33222353 in words is "thirty-three million, two hundred twenty-two thousand, three hundred fifty-three".