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221938319 is a prime number
BaseRepresentation
bin11010011101010…
…00001010001111
3120110121122010202
431032220022033
5423304011234
634004524115
75333305331
oct1516501217
9513548122
10221938319
111043075a9
12623b063b
1336c98a65
1421693451
151473e77e
hexd3a828f

221938319 has 2 divisors, whose sum is σ = 221938320. Its totient is φ = 221938318.

The previous prime is 221938291. The next prime is 221938333. The reversal of 221938319 is 913839122.

221938319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221938319 is a prime.

It is a super-2 number, since 2×2219383192 = 98513234881091522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221938369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110969159 + 110969160.

It is an arithmetic number, because the mean of its divisors is an integer number (110969160).

Almost surely, 2221938319 is an apocalyptic number.

221938319 is a deficient number, since it is larger than the sum of its proper divisors (1).

221938319 is an equidigital number, since it uses as much as digits as its factorization.

221938319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 38.

The square root of 221938319 is about 14897.5944031243. The cubic root of 221938319 is about 605.4488111573.

The spelling of 221938319 in words is "two hundred twenty-one million, nine hundred thirty-eight thousand, three hundred nineteen".