Search a number
-
+
2232601729 is a prime number
BaseRepresentation
bin1000010100010010…
…1100110010000001
312202121000220210221
42011010230302001
514033021223404
61005312223041
7106216541641
oct20504546201
95677026727
102232601729
11a462777a6
1252383aa81
13297707917
14172726521
15d100b954
hex8512cc81

2232601729 has 2 divisors, whose sum is σ = 2232601730. Its totient is φ = 2232601728.

The previous prime is 2232601649. The next prime is 2232601771. The reversal of 2232601729 is 9271062322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1430579329 + 802022400 = 37823^2 + 28320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232601729 is a prime.

It is a super-3 number, since 3×22326017293 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232601694 and 2232601703.

It is not a weakly prime, because it can be changed into another prime (2232605729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116300864 + 1116300865.

It is an arithmetic number, because the mean of its divisors is an integer number (1116300865).

Almost surely, 22232601729 is an apocalyptic number.

It is an amenable number.

2232601729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232601729 is an equidigital number, since it uses as much as digits as its factorization.

2232601729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2232601729 is about 47250.4151198696. The cubic root of 2232601729 is about 1306.9844450958.

The spelling of 2232601729 in words is "two billion, two hundred thirty-two million, six hundred one thousand, seven hundred twenty-nine".