Search a number
-
+
223231300093 is a prime number
BaseRepresentation
bin1100111111100110011…
…1110101000111111101
3210100012101002000011101
43033321213311013331
512124134203100333
6250315005253101
722061610512614
oct3177147650775
9710171060141
10223231300093
118674328186a
123731b864191
13180872a42a9
14ab395bc87b
155c17c2267d
hex33f99f51fd

223231300093 has 2 divisors, whose sum is σ = 223231300094. Its totient is φ = 223231300092.

The previous prime is 223231300087. The next prime is 223231300109. The reversal of 223231300093 is 390003132322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205850041849 + 17381258244 = 453707^2 + 131838^2 .

It is a cyclic number.

It is not a de Polignac number, because 223231300093 - 221 = 223229202941 is a prime.

It is a super-3 number, since 3×2232313000933 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223231307093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615650046 + 111615650047.

It is an arithmetic number, because the mean of its divisors is an integer number (111615650047).

Almost surely, 2223231300093 is an apocalyptic number.

It is an amenable number.

223231300093 is a deficient number, since it is larger than the sum of its proper divisors (1).

223231300093 is an equidigital number, since it uses as much as digits as its factorization.

223231300093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 223231300093 in words is "two hundred twenty-three billion, two hundred thirty-one million, three hundred thousand, ninety-three".