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332222111222233 is a prime number
BaseRepresentation
bin100101110001001110111110…
…0111011010000100111011001
31121120022010100010221100111111
41023202131330323100213121
5322021111340433102413
63134324421514500321
7126656153423002201
oct11342357473204731
91546263303840444
10332222111222233
1196946673855041
1231316a54a346a1
131134b5452bc03b
145c078c91a7401
152861cd5d37d3d
hex12e277ced09d9

332222111222233 has 2 divisors, whose sum is σ = 332222111222234. Its totient is φ = 332222111222232.

The previous prime is 332222111222179. The next prime is 332222111222237.

332222111222233 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278409147246409 + 53812963975824 = 16685597^2 + 7335732^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332222111222233 - 217 = 332222111091161 is a prime.

It is a super-2 number, since 2×3322221112222332 (a number of 30 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 332222111222195 and 332222111222204.

It is not a weakly prime, because it can be changed into another prime (332222111222237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166111055611116 + 166111055611117.

It is an arithmetic number, because the mean of its divisors is an integer number (166111055611117).

Almost surely, 2332222111222233 is an apocalyptic number.

It is an amenable number.

332222111222233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332222111222233 is an equidigital number, since it uses as much as digits as its factorization.

332222111222233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 31.

The spelling of 332222111222233 in words is "three hundred thirty-two trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred thirty-three".