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221325197 is a prime number
BaseRepresentation
bin11010011000100…
…10011110001101
3120102110111002112
431030102132031
5423124401242
633543433405
75325142652
oct1514223615
9512414075
10221325197
11103a28995
1262155865
1336b12972
1421573c29
151466cc82
hexd31278d

221325197 has 2 divisors, whose sum is σ = 221325198. Its totient is φ = 221325196.

The previous prime is 221325179. The next prime is 221325199. The reversal of 221325197 is 791523122.

221325197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (221325179) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186349801 + 34975396 = 13651^2 + 5914^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221325197 is a prime.

Together with 221325199, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221325199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110662598 + 110662599.

It is an arithmetic number, because the mean of its divisors is an integer number (110662599).

Almost surely, 2221325197 is an apocalyptic number.

It is an amenable number.

221325197 is a deficient number, since it is larger than the sum of its proper divisors (1).

221325197 is an equidigital number, since it uses as much as digits as its factorization.

221325197 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 32.

The square root of 221325197 is about 14877.0022854068. The cubic root of 221325197 is about 604.8907636944.

The spelling of 221325197 in words is "two hundred twenty-one million, three hundred twenty-five thousand, one hundred ninety-seven".