Search a number
-
+
2233503329 is a prime number
BaseRepresentation
bin1000010100100000…
…1000111001100001
312202122201201120112
42011020020321201
514033234101304
61005343421105
7106230315341
oct20510107141
95678651515
102233503329
11a46833122
12523bb4795
13297962105
141728bcd21
15d1138b6e
hex85208e61

2233503329 has 2 divisors, whose sum is σ = 2233503330. Its totient is φ = 2233503328.

The previous prime is 2233503319. The next prime is 2233503347. The reversal of 2233503329 is 9233053322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2202143329 + 31360000 = 46927^2 + 5600^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233503329 - 24 = 2233503313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2233503295 and 2233503304.

It is not a weakly prime, because it can be changed into another prime (2233503319) 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, 1116751664 + 1116751665.

It is an arithmetic number, because the mean of its divisors is an integer number (1116751665).

Almost surely, 22233503329 is an apocalyptic number.

It is an amenable number.

2233503329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233503329 is an equidigital number, since it uses as much as digits as its factorization.

2233503329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 32.

The square root of 2233503329 is about 47259.9548137744. The cubic root of 2233503329 is about 1307.1603562421.

The spelling of 2233503329 in words is "two billion, two hundred thirty-three million, five hundred three thousand, three hundred twenty-nine".