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9220002000229 = 172771957953281
BaseRepresentation
bin1000011000101011001011…
…1100011010110101100101
31012122102102210101101220001
42012022302330122311211
52202030031003001404
631335335504541301
71641060146626606
oct206126274326545
935572383341801
109220002000229
112a351a9845129
12104aa94021831
1351b59a107057
1423c37144ddad
1510ec77b647a4
hex862b2f1ad65

9220002000229 has 8 divisors (see below), whose sum is σ = 9797598223128. Its totient is φ = 8646321684480.

The previous prime is 9220002000227. The next prime is 9220002000233.

9220002000229 is nontrivially palindromic in base 10.

9220002000229 is digitally balanced in base 2, 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 3538905915204 + 5681096085025 = 1881198^2 + 2383505^2 .

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 9220002000229 - 21 = 9220002000227 is a prime.

It is a super-3 number, since 3×92200020002293 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9220002000197 and 9220002000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9220002000227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 978971932 + ... + 978981349.

It is an arithmetic number, because the mean of its divisors is an integer number (1224699777891).

Almost surely, 29220002000229 is an apocalyptic number.

It is an amenable number.

9220002000229 is a deficient number, since it is larger than the sum of its proper divisors (577596222899).

9220002000229 is a wasteful number, since it uses less digits than its factorization.

9220002000229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957953575.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 9220002000229 in words is "nine trillion, two hundred twenty billion, two million, two hundred twenty-nine", and thus it is an aban number.

Divisors: 1 17 277 4709 1957953281 33285205777 542353058837 9220002000229