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223232000041 is a prime number
BaseRepresentation
bin1100111111100110101…
…0100000000000101001
3210100012102101120022101
43033321222200000221
512124134343000131
6250315032253401
722061616456361
oct3177152400051
9710172346271
10223232000041
118674370a736
123731bb41261
131808748aa6b
14ab397219a1
155c17d0ec61
hex33f9aa0029

223232000041 has 2 divisors, whose sum is σ = 223232000042. Its totient is φ = 223232000040.

The previous prime is 223232000003. The next prime is 223232000071. The reversal of 223232000041 is 140000232322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158209040025 + 65022960016 = 397755^2 + 254996^2 .

It is a cyclic number.

It is not a de Polignac number, because 223232000041 - 223 = 223223611433 is a prime.

It is a super-3 number, since 3×2232320000413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223231999982 and 223232000018.

It is not a weakly prime, because it can be changed into another prime (223232000071) 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, 111616000020 + 111616000021.

It is an arithmetic number, because the mean of its divisors is an integer number (111616000021).

Almost surely, 2223232000041 is an apocalyptic number.

It is an amenable number.

223232000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

223232000041 is an equidigital number, since it uses as much as digits as its factorization.

223232000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 223232000041 its reverse (140000232322), we get a palindrome (363232232363).

The spelling of 223232000041 in words is "two hundred twenty-three billion, two hundred thirty-two million, forty-one", and thus it is an aban number.