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3330222220333 = 29302969379033
BaseRepresentation
bin110000011101100000101…
…101100110010000101101
3102210100212220122011120001
4300131200231212100231
5414030243342022313
611025514415424301
7462413003550121
oct60354055462055
912710786564501
103330222220333
111074380696478
12459504825091
131b2066a8ab08
14b727dbab581
155b9602c4add
hex30760b6642d

3330222220333 has 8 divisors (see below), whose sum is σ = 3445077929400. Its totient is φ = 3215367875328.

The previous prime is 3330222220313. The next prime is 3330222220379.

3330222220333 is nontrivially palindromic in base 10.

3330222220333 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 405102971529 + 2925119248804 = 636477^2 + 1710298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3330222220333 - 217 = 3330222089261 is a prime.

It is a super-2 number, since 2×33302222203332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330222220313) 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 in 7 ways as a sum of consecutive naturals, for example, 8596585 + ... + 8975617.

It is an arithmetic number, because the mean of its divisors is an integer number (430634741175).

Almost surely, 23330222220333 is an apocalyptic number.

It is an amenable number.

3330222220333 is a deficient number, since it is larger than the sum of its proper divisors (114855709067).

3330222220333 is a wasteful number, since it uses less digits than its factorization.

3330222220333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682031.

The product of its (nonzero) digits is 23328, while the sum is 28.

The spelling of 3330222220333 in words is "three trillion, three hundred thirty billion, two hundred twenty-two million, two hundred twenty thousand, three hundred thirty-three".

Divisors: 1 29 302969 379033 8786101 10991957 114835248977 3330222220333