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2232164257 is a prime number
BaseRepresentation
bin1000010100001100…
…0001111110100001
312202120012200201021
42011003001332201
514032413224012
61005255005441
7106213040341
oct20503017641
95676180637
102232164257
11a45aa9054
12523669881
132975b376b
14172650d21
15d0e72007
hex850c1fa1

2232164257 has 2 divisors, whose sum is σ = 2232164258. Its totient is φ = 2232164256.

The previous prime is 2232164227. The next prime is 2232164267. The reversal of 2232164257 is 7524612322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2130376336 + 101787921 = 46156^2 + 10089^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232164257 - 211 = 2232162209 is a prime.

It is a super-3 number, since 3×22321642573 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232164227) 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, 1116082128 + 1116082129.

It is an arithmetic number, because the mean of its divisors is an integer number (1116082129).

Almost surely, 22232164257 is an apocalyptic number.

It is an amenable number.

2232164257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232164257 is an equidigital number, since it uses as much as digits as its factorization.

2232164257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 34.

The square root of 2232164257 is about 47245.7856004110. The cubic root of 2232164257 is about 1306.8990728831.

Adding to 2232164257 its reverse (7524612322), we get a palindrome (9756776579).

The spelling of 2232164257 in words is "two billion, two hundred thirty-two million, one hundred sixty-four thousand, two hundred fifty-seven".