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221223211217 is a prime number
BaseRepresentation
bin1100111000000111101…
…1100101000011010001
3210011000102111112002022
43032001323211003101
512111031120224332
6245343433101225
721661055161241
oct3160173450321
9704012445068
10221223211217
118590280a988
1236a5b257815
1317b27257218
14a9c8a19b21
155b4b7b3212
hex3381ee50d1

221223211217 has 2 divisors, whose sum is σ = 221223211218. Its totient is φ = 221223211216.

The previous prime is 221223211199. The next prime is 221223211219. The reversal of 221223211217 is 712112322122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199595391121 + 21627820096 = 446761^2 + 147064^2 .

It is a cyclic number.

It is not a de Polignac number, because 221223211217 - 210 = 221223210193 is a prime.

It is a super-2 number, since 2×2212232112172 (a number of 23 digits) contains 22 as substring.

Together with 221223211219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221223211219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110611605608 + 110611605609.

It is an arithmetic number, because the mean of its divisors is an integer number (110611605609).

Almost surely, 2221223211217 is an apocalyptic number.

It is an amenable number.

221223211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221223211217 is an equidigital number, since it uses as much as digits as its factorization.

221223211217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1344, while the sum is 26.

Adding to 221223211217 its reverse (712112322122), we get a palindrome (933335533339).

The spelling of 221223211217 in words is "two hundred twenty-one billion, two hundred twenty-three million, two hundred eleven thousand, two hundred seventeen".