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223201332217 is a prime number
BaseRepresentation
bin1100111111011111010…
…1100000101111111001
3210100010021200110222001
43033313311200233321
512124104020112332
6250312015101001
722061065006663
oct3176765405771
9710107613861
10223201332217
1186728373526
1237311811761
1318081010b16
14ab3561b533
155c152a30e7
hex33f7d60bf9

223201332217 has 2 divisors, whose sum is σ = 223201332218. Its totient is φ = 223201332216.

The previous prime is 223201332149. The next prime is 223201332247. The reversal of 223201332217 is 712233102322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196518436416 + 26682895801 = 443304^2 + 163349^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223201332217 is a prime.

It is a super-3 number, since 3×2232013322173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223201332247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111600666108 + 111600666109.

It is an arithmetic number, because the mean of its divisors is an integer number (111600666109).

Almost surely, 2223201332217 is an apocalyptic number.

It is an amenable number.

223201332217 is a deficient number, since it is larger than the sum of its proper divisors (1).

223201332217 is an equidigital number, since it uses as much as digits as its factorization.

223201332217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 223201332217 its reverse (712233102322), we get a palindrome (935434434539).

The spelling of 223201332217 in words is "two hundred twenty-three billion, two hundred one million, three hundred thirty-two thousand, two hundred seventeen".