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223082528161 is a prime number
BaseRepresentation
bin1100111111000011000…
…0010011110110100001
3210022211000010121102211
43033300300103312201
512123333111400121
6250252132442121
722055123126323
oct3176060236641
9708730117384
10223082528161
11866772a9259
1237299a79341
131806251536c
14ab23933613
155c09b36ce1
hex33f0c13da1

223082528161 has 2 divisors, whose sum is σ = 223082528162. Its totient is φ = 223082528160.

The previous prime is 223082528131. The next prime is 223082528189. The reversal of 223082528161 is 161825280322.

223082528161 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 can be written as a sum of positive squares in only one way, i.e., 149193697536 + 73888830625 = 386256^2 + 271825^2 .

It is a cyclic number.

It is not a de Polignac number, because 223082528161 - 211 = 223082526113 is a prime.

It is a super-3 number, since 3×2230825281613 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223082528131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111541264080 + 111541264081.

It is an arithmetic number, because the mean of its divisors is an integer number (111541264081).

Almost surely, 2223082528161 is an apocalyptic number.

It is an amenable number.

223082528161 is a deficient number, since it is larger than the sum of its proper divisors (1).

223082528161 is an equidigital number, since it uses as much as digits as its factorization.

223082528161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 223082528161 in words is "two hundred twenty-three billion, eighty-two million, five hundred twenty-eight thousand, one hundred sixty-one".