Search a number
-
+
2222202031601 is a prime number
BaseRepresentation
bin100000010101100101100…
…100000000110111110001
321212102220002011121012012
4200111211210000313301
5242402032210002401
64420510541412305
7316356144416126
oct40254544006761
97772802147165
102222202031601
11787481128a32
122ba816b6a095
13131725521446
14797ab4a274d
153cc1068b8bb
hex20565900df1

2222202031601 has 2 divisors, whose sum is σ = 2222202031602. Its totient is φ = 2222202031600.

The previous prime is 2222202031541. The next prime is 2222202031603. The reversal of 2222202031601 is 1061302022222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1949220861025 + 272981170576 = 1396145^2 + 522476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2222202031601 is a prime.

It is a super-2 number, since 2×22222020316012 (a number of 25 digits) contains 22 as substring.

Together with 2222202031603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2222202031603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111101015800 + 1111101015801.

It is an arithmetic number, because the mean of its divisors is an integer number (1111101015801).

Almost surely, 22222202031601 is an apocalyptic number.

It is an amenable number.

2222202031601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222202031601 is an equidigital number, since it uses as much as digits as its factorization.

2222202031601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2222202031601 its reverse (1061302022222), we get a palindrome (3283504053823).

The spelling of 2222202031601 in words is "two trillion, two hundred twenty-two billion, two hundred two million, thirty-one thousand, six hundred one".