Search a number
-
+
221020222220233 is a prime number
BaseRepresentation
bin110010010000010001000111…
…110101010110011111001001
31001222120022211022012012210221
4302100101013311112133021
5212432143403342021413
62102023142142310041
764361120101203652
oct6220210765263711
91058508738165727
10221020222220233
1164473171504687
1220957249288321
13964316b280227
143c81615cd8529
151a8439aba068d
hexc90447d567c9

221020222220233 has 2 divisors, whose sum is σ = 221020222220234. Its totient is φ = 221020222220232.

The previous prime is 221020222220201. The next prime is 221020222220249. The reversal of 221020222220233 is 332022222020122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144427829302969 + 76592392917264 = 12017813^2 + 8751708^2 .

It is a cyclic number.

It is not a de Polignac number, because 221020222220233 - 25 = 221020222220201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221020222220198 and 221020222220207.

It is not a weakly prime, because it can be changed into another prime (221020222220263) 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, 110510111110116 + 110510111110117.

It is an arithmetic number, because the mean of its divisors is an integer number (110510111110117).

Almost surely, 2221020222220233 is an apocalyptic number.

It is an amenable number.

221020222220233 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020222220233 is an equidigital number, since it uses as much as digits as its factorization.

221020222220233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 221020222220233 its reverse (332022222020122), we get a palindrome (553042444240355).

The spelling of 221020222220233 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-two million, two hundred twenty thousand, two hundred thirty-three".