Search a number
-
+
221233014221 is a prime number
BaseRepresentation
bin1100111000001010000…
…0111110010111001101
3210011001002221120021112
43032002200332113031
512111041122423341
6245344423141405
721661234410362
oct3160240762715
9704032846245
10221233014221
11859082a603a
1236a625a4865
1317b292aa20b
14a9ca04c469
155b4c59caeb
hex338283e5cd

221233014221 has 2 divisors, whose sum is σ = 221233014222. Its totient is φ = 221233014220.

The previous prime is 221233014209. The next prime is 221233014227. The reversal of 221233014221 is 122410332122.

221233014221 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., 114051421225 + 107181592996 = 337715^2 + 327386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221233014221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221233014227) 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, 110616507110 + 110616507111.

It is an arithmetic number, because the mean of its divisors is an integer number (110616507111).

Almost surely, 2221233014221 is an apocalyptic number.

It is an amenable number.

221233014221 is a deficient number, since it is larger than the sum of its proper divisors (1).

221233014221 is an equidigital number, since it uses as much as digits as its factorization.

221233014221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221233014221 its reverse (122410332122), we get a palindrome (343643346343).

The spelling of 221233014221 in words is "two hundred twenty-one billion, two hundred thirty-three million, fourteen thousand, two hundred twenty-one".