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332233363332233 = 1122745730275473
BaseRepresentation
bin100101110001010100001101…
…1100110101001110010001001
31121120100012101022202202122022
41023202220123212221302021
5322021302412003112413
63134333522230334225
7126660032313235466
oct11342503346516211
91546305338682568
10332233363332233
1196950418327900
12313190751ba375
131134c6195175ac
145c0827574266d
152862243ac6608
hex12e2a1b9a9c89

332233363332233 has 6 divisors (see below), whose sum is σ = 365182126638042. Its totient is φ = 302030330301920.

The previous prime is 332233363332193. The next prime is 332233363332307.

332233363332233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 313454383757449 + 18778979574784 = 17704643^2 + 4333472^2 .

It is not a de Polignac number, because 332233363332233 - 28 = 332233363331977 is a prime.

It is a super-2 number, since 2×3322333633322332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332233363332833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1372865137616 + ... + 1372865137857.

It is an arithmetic number, because the mean of its divisors is an integer number (60863687773007).

Almost surely, 2332233363332233 is an apocalyptic number.

It is an amenable number.

332233363332233 is a deficient number, since it is larger than the sum of its proper divisors (32948763305809).

332233363332233 is a wasteful number, since it uses less digits than its factorization.

332233363332233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745730275495 (or 2745730275484 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 44.

The spelling of 332233363332233 in words is "three hundred thirty-two trillion, two hundred thirty-three billion, three hundred sixty-three million, three hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 11 121 2745730275473 30203033030203 332233363332233