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6822000331 = 196110954001
BaseRepresentation
bin1100101101001111…
…10111011011001011
3122121102210112010221
412112213313123023
5102432413002311
63044535050511
7331025021536
oct62647673313
918542715127
106822000331
112990928903
1213a4810a37
138494826b3
1448a063a1d
1529dda8671
hex1969f76cb

6822000331 has 16 divisors (see below), whose sum is σ = 7365872800. Its totient is φ = 6298560000.

The previous prime is 6822000323. The next prime is 6822000347. The reversal of 6822000331 is 1330002286.

6822000331 = T8543 + T8544 + ... + T8725.

It is a 9-Lehmer number, since φ(6822000331) divides (6822000331-1)9.

It is a cyclic number.

It is not a de Polignac number, because 6822000331 - 23 = 6822000323 is a prime.

It is a super-2 number, since 2×68220003312 = 93079377032328219122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6822000296 and 6822000305.

It is not an unprimeable number, because it can be changed into a prime (6822000131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99331 + ... + 153331.

It is an arithmetic number, because the mean of its divisors is an integer number (460367050).

Almost surely, 26822000331 is an apocalyptic number.

6822000331 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

6822000331 is a deficient number, since it is larger than the sum of its proper divisors (543872469).

6822000331 is a wasteful number, since it uses less digits than its factorization.

6822000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54190.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6822000331 is about 82595.4013913608. The cubic root of 6822000331 is about 1896.5774331948.

The spelling of 6822000331 in words is "six billion, eight hundred twenty-two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 19 61 109 1159 2071 6649 54001 126331 1026019 3294061 5886109 62587159 111836071 359052649 6822000331