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223200000241 is a prime number
BaseRepresentation
bin1100111111011111000…
…0011011100011110001
3210100010012011210211121
43033313300123203301
512124103200001431
6250311530342241
722061050461451
oct3176760334361
9710105153747
10223200000241
1186727643819
123731128a981
131808096577a
14ab35391d61
155c150dd611
hex33f7c1b8f1

223200000241 has 2 divisors, whose sum is σ = 223200000242. Its totient is φ = 223200000240.

The previous prime is 223200000193. The next prime is 223200000263. The reversal of 223200000241 is 142000002322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153769858225 + 69430142016 = 392135^2 + 263496^2 .

It is a cyclic number.

It is not a de Polignac number, because 223200000241 - 211 = 223199998193 is a prime.

It is a super-3 number, since 3×2232000002413 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223200004241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111600000120 + 111600000121.

It is an arithmetic number, because the mean of its divisors is an integer number (111600000121).

Almost surely, 2223200000241 is an apocalyptic number.

It is an amenable number.

223200000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

223200000241 is an equidigital number, since it uses as much as digits as its factorization.

223200000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 223200000241 its reverse (142000002322), we get a palindrome (365200002563).

The spelling of 223200000241 in words is "two hundred twenty-three billion, two hundred million, two hundred forty-one", and thus it is an aban number.