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221967133 is a prime number
BaseRepresentation
bin11010011101011…
…11001100011101
3120110200002122221
431032233030131
5423310422013
634005305341
75333455333
oct1516571435
9513602587
10221967133
11104327213
1262405251
1336ca8bcb
142169db53
151474808d
hexd3af31d

221967133 has 2 divisors, whose sum is σ = 221967134. Its totient is φ = 221967132.

The previous prime is 221967121. The next prime is 221967167. The reversal of 221967133 is 331769122.

It is an a-pointer prime, because the next prime (221967167) can be obtained adding 221967133 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201554809 + 20412324 = 14197^2 + 4518^2 .

It is a cyclic number.

It is not a de Polignac number, because 221967133 - 29 = 221966621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221967103) 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, 110983566 + 110983567.

It is an arithmetic number, because the mean of its divisors is an integer number (110983567).

Almost surely, 2221967133 is an apocalyptic number.

It is an amenable number.

221967133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221967133 is an equidigital number, since it uses as much as digits as its factorization.

221967133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 34.

The square root of 221967133 is about 14898.5614406224. The cubic root of 221967133 is about 605.4750116007.

The spelling of 221967133 in words is "two hundred twenty-one million, nine hundred sixty-seven thousand, one hundred thirty-three".