Search a number
-
+
2233004047 is a prime number
BaseRepresentation
bin1000010100011000…
…1111000000001111
312202121210100200121
42011012033000033
514033122112142
61005325005411
7106223135611
oct20506170017
95677710617
102233004047
11a46521a9a
125239b3867
13297818a91
141727ccdb1
15d108ac67
hex8518f00f

2233004047 has 2 divisors, whose sum is σ = 2233004048. Its totient is φ = 2233004046.

The previous prime is 2233004021. The next prime is 2233004063. The reversal of 2233004047 is 7404003322.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2233004047 - 219 = 2232479759 is a prime.

It is a super-3 number, since 3×22330040473 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2233004087) 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, 1116502023 + 1116502024.

It is an arithmetic number, because the mean of its divisors is an integer number (1116502024).

Almost surely, 22233004047 is an apocalyptic number.

2233004047 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233004047 is an equidigital number, since it uses as much as digits as its factorization.

2233004047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 2233004047 is about 47254.6722240246. The cubic root of 2233004047 is about 1307.0629471979.

Adding to 2233004047 its reverse (7404003322), we get a palindrome (9637007369).

The spelling of 2233004047 in words is "two billion, two hundred thirty-three million, four thousand, forty-seven".