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820804227 = 361273529
BaseRepresentation
bin110000111011000…
…111101010000011
32010012111011201120
4300323013222003
53140111213402
6213240403323
726224502145
oct6073075203
92105434646
10820804227
11391360401
121aaa76543
13101088399
147b022c95
154c0d63bc
hex30ec7a83

820804227 has 12 divisors (see below), whose sum is σ = 1112655960. Its totient is φ = 538224960.

The previous prime is 820804223. The next prime is 820804279. The reversal of 820804227 is 722408028.

820804227 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820804227 - 22 = 820804223 is a prime.

It is a super-2 number, since 2×8208042272 = 1347439158122135058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820804223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25602 + ... + 47927.

It is an arithmetic number, because the mean of its divisors is an integer number (92721330).

Almost surely, 2820804227 is an apocalyptic number.

820804227 is a deficient number, since it is larger than the sum of its proper divisors (291851733).

820804227 is an equidigital number, since it uses as much as digits as its factorization.

820804227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73654 (or 73593 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 820804227 is about 28649.6810977016. The cubic root of 820804227 is about 936.2960576818.

The spelling of 820804227 in words is "eight hundred twenty million, eight hundred four thousand, two hundred twenty-seven".

Divisors: 1 3 61 183 3721 11163 73529 220587 4485269 13455807 273601409 820804227