Search a number
-
+
22013330233 is a prime number
BaseRepresentation
bin10100100000000110…
…001100001100111001
32002211010222001010011
4110200012030030321
5330040403031413
614040210021521
71406340135226
oct244006141471
962733861104
1022013330233
119376a50904
1243242778a1
1320ca83b5bb
1410cb85094d
1588c8b333d
hex52018c339

22013330233 has 2 divisors, whose sum is σ = 22013330234. Its totient is φ = 22013330232.

The previous prime is 22013330231. The next prime is 22013330257. The reversal of 22013330233 is 33203331022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19881846009 + 2131484224 = 141003^2 + 46168^2 .

It is a cyclic number.

It is not a de Polignac number, because 22013330233 - 21 = 22013330231 is a prime.

It is a super-2 number, since 2×220133302332 (a number of 21 digits) contains 22 as substring.

Together with 22013330231, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22013330231) 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, 11006665116 + 11006665117.

It is an arithmetic number, because the mean of its divisors is an integer number (11006665117).

Almost surely, 222013330233 is an apocalyptic number.

It is an amenable number.

22013330233 is a deficient number, since it is larger than the sum of its proper divisors (1).

22013330233 is an equidigital number, since it uses as much as digits as its factorization.

22013330233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 22013330233 its reverse (33203331022), we get a palindrome (55216661255).

The spelling of 22013330233 in words is "twenty-two billion, thirteen million, three hundred thirty thousand, two hundred thirty-three".