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223221332233 is a prime number
BaseRepresentation
bin1100111111100100000…
…1110011100100001001
3210100011200022120211101
43033321001303210021
512124124130112413
6250314011501401
722061430006034
oct3177101634411
9710150276741
10223221332233
1186738693869
1237318457861
13180851c4253
14ab3814601b
155c16e03edd
hex33f9073909

223221332233 has 2 divisors, whose sum is σ = 223221332234. Its totient is φ = 223221332232.

The previous prime is 223221332231. The next prime is 223221332293. The reversal of 223221332233 is 332233122322.

It is a happy number.

223221332233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212734957824 + 10486374409 = 461232^2 + 102403^2 .

It is a cyclic number.

It is not a de Polignac number, because 223221332233 - 21 = 223221332231 is a prime.

It is a super-3 number, since 3×2232213322333 (a number of 35 digits) contains 333 as substring.

Together with 223221332231, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (223221332231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111610666116 + 111610666117.

It is an arithmetic number, because the mean of its divisors is an integer number (111610666117).

Almost surely, 2223221332233 is an apocalyptic number.

It is an amenable number.

223221332233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223221332233 is an equidigital number, since it uses as much as digits as its factorization.

223221332233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 28.

Adding to 223221332233 its reverse (332233122322), we get a palindrome (555454454555).

The spelling of 223221332233 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-three".