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33622240241 is a prime number
BaseRepresentation
bin11111010100000010…
…101010101111110001
310012210012011202212002
4133110002222233301
51022324243141431
623240145143345
72300122220012
oct372402525761
9105705152762
1033622240241
1113293972807
12662402ab55
13322a961215
1418ad547009
15d1bb303cb
hex7d40aabf1

33622240241 has 2 divisors, whose sum is σ = 33622240242. Its totient is φ = 33622240240.

The previous prime is 33622240217. The next prime is 33622240243. The reversal of 33622240241 is 14204222633.

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., 33307710016 + 314530225 = 182504^2 + 17735^2 .

It is a cyclic number.

It is not a de Polignac number, because 33622240241 - 226 = 33555131377 is a prime.

It is a super-2 number, since 2×336222402412 (a number of 22 digits) contains 22 as substring.

Together with 33622240243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33622240243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16811120120 + 16811120121.

It is an arithmetic number, because the mean of its divisors is an integer number (16811120121).

Almost surely, 233622240241 is an apocalyptic number.

It is an amenable number.

33622240241 is a deficient number, since it is larger than the sum of its proper divisors (1).

33622240241 is an equidigital number, since it uses as much as digits as its factorization.

33622240241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 33622240241 its reverse (14204222633), we get a palindrome (47826462874).

The spelling of 33622240241 in words is "thirty-three billion, six hundred twenty-two million, two hundred forty thousand, two hundred forty-one".