Search a number
-
+
222000040021 is a prime number
BaseRepresentation
bin1100111011000000111…
…0111100100001010101
3210020000120020111212111
43032300032330201111
512114124002240041
6245552503151021
722016240130244
oct3166016744125
9706016214774
10222000040021
1186171264961
1237037445471
1317c1c186436
14aa5dc7295b
155b94aae981
hex33b03bc855

222000040021 has 2 divisors, whose sum is σ = 222000040022. Its totient is φ = 222000040020.

The previous prime is 222000040013. The next prime is 222000040039. The reversal of 222000040021 is 120040000222.

222000040021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174076700625 + 47923339396 = 417225^2 + 218914^2 .

It is a cyclic number.

It is not a de Polignac number, because 222000040021 - 23 = 222000040013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222000039983 and 222000040010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222000040081) 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, 111000020010 + 111000020011.

It is an arithmetic number, because the mean of its divisors is an integer number (111000020011).

Almost surely, 2222000040021 is an apocalyptic number.

It is an amenable number.

222000040021 is a deficient number, since it is larger than the sum of its proper divisors (1).

222000040021 is an equidigital number, since it uses as much as digits as its factorization.

222000040021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 222000040021 its reverse (120040000222), we get a palindrome (342040040243).

The spelling of 222000040021 in words is "two hundred twenty-two billion, forty thousand, twenty-one".