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9200800331 = 1923891811307
BaseRepresentation
bin10001001000110100…
…10001001001001011
3212202012221002021122
420210122101021023
5122320401102311
64120553025455
7444001340522
oct104432211113
925665832248
109200800331
1139a1680518
1219493b528b
13b38257968
14633d654b9
1538cb430db
hex22469124b

9200800331 has 32 divisors (see below), whose sum is σ = 10284019200. Its totient is φ = 8192067840.

The previous prime is 9200800321. The next prime is 9200800351. The reversal of 9200800331 is 1330080029.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9200800331 is a prime.

It is a super-2 number, since 2×92008003312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9200800331.

It is not an unprimeable number, because it can be changed into a prime (9200800321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7038980 + ... + 7040286.

It is an arithmetic number, because the mean of its divisors is an integer number (321375600).

Almost surely, 29200800331 is an apocalyptic number.

9200800331 is a deficient number, since it is larger than the sum of its proper divisors (1083218869).

9200800331 is a wasteful number, since it uses less digits than its factorization.

9200800331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 9200800331 is about 95920.8023892628. The cubic root of 9200800331 is about 2095.4398653371.

The spelling of 9200800331 in words is "nine billion, two hundred million, eight hundred thousand, three hundred thirty-one".

Divisors: 1 19 23 89 181 437 1307 1691 2047 3439 4163 16109 24833 30061 38893 79097 116323 236567 306071 370507 571159 2210137 2675429 4494773 5441041 7039633 21054463 50833151 103379779 400034797 484252649 9200800331