Search a number
-
+
223222000433 is a prime number
BaseRepresentation
bin1100111111100100010…
…0010110101100110001
3210100011201120112102112
43033321010112230301
512124124313003213
6250314034055105
722061435461115
oct3177104265461
9710151515375
10223222000433
1186738aaa8a3
123731871a495
1318085399433
14ab3827b745
155c16ed6ea8
hex33f9116b31

223222000433 has 2 divisors, whose sum is σ = 223222000434. Its totient is φ = 223222000432.

The previous prime is 223222000399. The next prime is 223222000471. The reversal of 223222000433 is 334000222322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191469255184 + 31752745249 = 437572^2 + 178193^2 .

It is a cyclic number.

It is not a de Polignac number, because 223222000433 - 210 = 223221999409 is a prime.

It is a super-3 number, since 3×2232220004333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223222000399 and 223222000408.

It is not a weakly prime, because it can be changed into another prime (223222000493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611000216 + 111611000217.

It is an arithmetic number, because the mean of its divisors is an integer number (111611000217).

Almost surely, 2223222000433 is an apocalyptic number.

It is an amenable number.

223222000433 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222000433 is an equidigital number, since it uses as much as digits as its factorization.

223222000433 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 223222000433 its reverse (334000222322), we get a palindrome (557222222755).

The spelling of 223222000433 in words is "two hundred twenty-three billion, two hundred twenty-two million, four hundred thirty-three", and thus it is an aban number.