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820232169 = 33761121139
BaseRepresentation
bin110000111000111…
…011111111101001
32010011102010000020
4300320323333221
53134434412134
6213220231053
726216600301
oct6070737751
92104363006
10820232169
11390aaa629
121aa83b489
13100c17ba3
147ad14601
154c021b49
hex30e3bfe9

820232169 has 16 divisors (see below), whose sum is σ = 1141623360. Its totient is φ = 523316160.

The previous prime is 820232159. The next prime is 820232207. The reversal of 820232169 is 961232028.

It is a happy number.

It is not a de Polignac number, because 820232169 - 27 = 820232041 is a prime.

It is a super-2 number, since 2×8202321692 = 1345561622124889122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820232159) 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 15 ways as a sum of consecutive naturals, for example, 53799 + ... + 67340.

It is an arithmetic number, because the mean of its divisors is an integer number (71351460).

Almost surely, 2820232169 is an apocalyptic number.

It is an amenable number.

820232169 is a deficient number, since it is larger than the sum of its proper divisors (321391191).

820232169 is a wasteful number, since it uses less digits than its factorization.

820232169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121240.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 820232169 is about 28639.6956862324. The cubic root of 820232169 is about 936.0784905231.

The spelling of 820232169 in words is "eight hundred twenty million, two hundred thirty-two thousand, one hundred sixty-nine".

Divisors: 1 3 37 61 111 183 2257 6771 121139 363417 4482143 7389479 13446429 22168437 273410723 820232169