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332222141222233 = 7313790736625019
BaseRepresentation
bin100101110001001110111111…
…0101101101100110101011001
31121120022010102020101111202121
41023202131332231230311121
5322021111421123102413
63134324424505501241
7126656154236000563
oct11342357655546531
91546263366344677
10332222141222233
1196946689785529
1231316a62aa1821
131134b54b594012
145c078cd176333
152861cd87b1b8d
hex12e277eb6cd59

332222141222233 has 16 divisors (see below), whose sum is σ = 339605351449920. Its totient is φ = 324920751687936.

The previous prime is 332222141222203. The next prime is 332222141222263.

It is a happy number.

332222141222233 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (332222141222203) and next prime (332222141222263).

It is a cyclic number.

It is not a de Polignac number, because 332222141222233 - 29 = 332222141221721 is a prime.

It is a super-2 number, since 2×3322221412222332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332222141222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9241603 + ... + 27383416.

It is an arithmetic number, because the mean of its divisors is an integer number (21225334465620).

Almost surely, 2332222141222233 is an apocalyptic number.

It is an amenable number.

332222141222233 is a deficient number, since it is larger than the sum of its proper divisors (7383210227687).

332222141222233 is a wasteful number, since it uses less digits than its factorization.

332222141222233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36626136.

The product of its digits is 82944, while the sum is 34.

The spelling of 332222141222233 in words is "three hundred thirty-two trillion, two hundred twenty-two billion, one hundred forty-one million, two hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 73 137 907 10001 66211 124259 9070907 36625019 2673626387 5017627603 33218892233 366286815019 2424979133009 4550988235921 332222141222233