Search a number
-
+
2232214217 is a prime number
BaseRepresentation
bin1000010100001100…
…1110001011001001
312202120022020020122
42011003032023021
514032421323332
61005300033025
7106213336112
oct20503161311
95676266218
102232214217
11a46032642
12523692775
1329760041c
14172665209
15d0e81c12
hex850ce2c9

2232214217 has 2 divisors, whose sum is σ = 2232214218. Its totient is φ = 2232214216.

The previous prime is 2232214169. The next prime is 2232214247. The reversal of 2232214217 is 7124122322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1361905216 + 870309001 = 36904^2 + 29501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232214217 - 28 = 2232213961 is a prime.

It is a super-3 number, since 3×22322142173 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232214247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116107108 + 1116107109.

It is an arithmetic number, because the mean of its divisors is an integer number (1116107109).

Almost surely, 22232214217 is an apocalyptic number.

It is an amenable number.

2232214217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232214217 is an equidigital number, since it uses as much as digits as its factorization.

2232214217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 26.

The square root of 2232214217 is about 47246.3143218601. The cubic root of 2232214217 is about 1306.9088230901.

Adding to 2232214217 its reverse (7124122322), we get a palindrome (9356336539).

The spelling of 2232214217 in words is "two billion, two hundred thirty-two million, two hundred fourteen thousand, two hundred seventeen".