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221340220433 is a prime number
BaseRepresentation
bin1100111000100011100…
…1111011110000010001
3210011022120200012112222
43032020321323300101
512111301044023213
6245403213030425
721664005555053
oct3161071736021
9704276605488
10221340220433
1185962869712
1236a92485415
1317b45574a47
14a9da3978d3
155b56bc7808
hex3388e7bc11

221340220433 has 2 divisors, whose sum is σ = 221340220434. Its totient is φ = 221340220432.

The previous prime is 221340220427. The next prime is 221340220447. The reversal of 221340220433 is 334022043122.

221340220433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207527624704 + 13812595729 = 455552^2 + 117527^2 .

It is a cyclic number.

It is not a de Polignac number, because 221340220433 - 24 = 221340220417 is a prime.

It is not a weakly prime, because it can be changed into another prime (221340220463) 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, 110670110216 + 110670110217.

It is an arithmetic number, because the mean of its divisors is an integer number (110670110217).

Almost surely, 2221340220433 is an apocalyptic number.

It is an amenable number.

221340220433 is a deficient number, since it is larger than the sum of its proper divisors (1).

221340220433 is an equidigital number, since it uses as much as digits as its factorization.

221340220433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 221340220433 its reverse (334022043122), we get a palindrome (555362263555).

The spelling of 221340220433 in words is "two hundred twenty-one billion, three hundred forty million, two hundred twenty thousand, four hundred thirty-three".