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223241204201 is a prime number
BaseRepresentation
bin1100111111101000110…
…1100111000111101001
3210100020001201012001012
43033322031213013221
512124144222013301
6250320001433305
722062060632561
oct3177215470751
9710201635035
10223241204201
1186748926984
123732303b835
1318089361302
14ab3aa39da1
155c18a2bebb
hex33fa3671e9

223241204201 has 2 divisors, whose sum is σ = 223241204202. Its totient is φ = 223241204200.

The previous prime is 223241204189. The next prime is 223241204243. The reversal of 223241204201 is 102402142322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211393970176 + 11847234025 = 459776^2 + 108845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223241204201 is a prime.

It is a super-3 number, since 3×2232412042013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223241204801) 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, 111620602100 + 111620602101.

It is an arithmetic number, because the mean of its divisors is an integer number (111620602101).

Almost surely, 2223241204201 is an apocalyptic number.

It is an amenable number.

223241204201 is a deficient number, since it is larger than the sum of its proper divisors (1).

223241204201 is an equidigital number, since it uses as much as digits as its factorization.

223241204201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 223241204201 its reverse (102402142322), we get a palindrome (325643346523).

The spelling of 223241204201 in words is "two hundred twenty-three billion, two hundred forty-one million, two hundred four thousand, two hundred one".