Search a number
-
+
222305021 is a prime number
BaseRepresentation
bin11010100000000…
…01101011111101
3120111022021011022
431100001223331
5423402230041
634020433525
75336363411
oct1520015375
9514267138
10222305021
11104538064
12625488a5
1337096943
142174ad41
15147b324b
hexd401afd

222305021 has 2 divisors, whose sum is σ = 222305022. Its totient is φ = 222305020.

The previous prime is 222304987. The next prime is 222305023. The reversal of 222305021 is 120503222.

222305021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120012025 + 102292996 = 10955^2 + 10114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222305021 is a prime.

Together with 222305023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222305023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111152510 + 111152511.

It is an arithmetic number, because the mean of its divisors is an integer number (111152511).

Almost surely, 2222305021 is an apocalyptic number.

It is an amenable number.

222305021 is a deficient number, since it is larger than the sum of its proper divisors (1).

222305021 is an equidigital number, since it uses as much as digits as its factorization.

222305021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 222305021 is about 14909.8967467920. The cubic root of 222305021 is about 605.7820826183.

Adding to 222305021 its reverse (120503222), we get a palindrome (342808243).

The spelling of 222305021 in words is "two hundred twenty-two million, three hundred five thousand, twenty-one".