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6822214048 = 251321177723
BaseRepresentation
bin1100101101010001…
…01011100110100000
3122121110012101022101
412112220223212200
5102432441322143
63044543420144
7331026601606
oct62650534640
918543171271
106822214048
112990a64431
1213a48b4654
13849528a60
1448a0bb876
1529ddebb4d
hex196a2b9a0

6822214048 has 48 divisors (see below), whose sum is σ = 14533144416. Its totient is φ = 3133751040.

The previous prime is 6822214001. The next prime is 6822214057. The reversal of 6822214048 is 8404122286.

It is a junction number, because it is equal to n+sod(n) for n = 6822213998 and 6822214016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48915 + ... + 126637.

It is an arithmetic number, because the mean of its divisors is an integer number (302773842).

Almost surely, 26822214048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6822214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266572208).

6822214048 is an abundant number, since it is smaller than the sum of its proper divisors (7710930368).

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

6822214048 is a wasteful number, since it uses less digits than its factorization.

6822214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77957 (or 77949 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 6822214048 is about 82596.6951396967. The cubic root of 6822214048 is about 1896.5972380705.

The spelling of 6822214048 in words is "six billion, eight hundred twenty-two million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 211 416 422 844 1688 2743 3376 5486 6752 10972 21944 43888 77723 87776 155446 310892 621784 1010399 1243568 2020798 2487136 4041596 8083192 16166384 16399553 32332768 32799106 65598212 131196424 213194189 262392848 426388378 524785696 852776756 1705553512 3411107024 6822214048