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3022564842 = 233117097177
BaseRepresentation
bin1011010000101000…
…1010110111101010
321210122111012111000
42310022022313222
522142234033332
61215532015430
7134621243253
oct26412126752
97718435430
103022564842
111311182780
12704301576
1339228520b
142095dbb2a
1512a54eb7c
hexb428adea

3022564842 has 64 divisors (see below), whose sum is σ = 7338787200. Its totient is φ = 914509440.

The previous prime is 3022564807. The next prime is 3022564871. The reversal of 3022564842 is 2484652203.

3022564842 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 5 + 648 + 4 + 2 = 666.

3022564842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3022564797 and 3022564806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417558 + ... + 424734.

It is an arithmetic number, because the mean of its divisors is an integer number (114668550).

Almost surely, 23022564842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022564842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669393600).

3022564842 is an abundant number, since it is smaller than the sum of its proper divisors (4316222358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3022564842 is a wasteful number, since it uses less digits than its factorization.

3022564842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3022564842 is about 54977.8577429132. The cubic root of 3022564842 is about 1445.8565567666.

The spelling of 3022564842 in words is "three billion, twenty-two million, five hundred sixty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 709 1418 2127 4254 6381 7177 7799 12762 14354 15598 19143 21531 23397 38286 43062 46794 64593 70191 78947 129186 140382 157894 193779 210573 236841 387558 421146 473682 710523 1421046 2131569 4263138 5088493 10176986 15265479 30530958 45796437 55973423 91592874 111946846 137389311 167920269 274778622 335840538 503760807 1007521614 1511282421 3022564842