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422189856 = 253211711877
BaseRepresentation
bin11001001010100…
…001101100100000
31002102102110121100
4121022201230200
51331040033411
6105520554400
713314361134
oct3112415440
91072373540
10422189856
111a7351540
12b9482a00
13696106aa
14400dd3c4
15270e8456
hex192a1b20

422189856 has 144 divisors (see below), whose sum is σ = 1328902848. Its totient is φ = 126067200.

The previous prime is 422189839. The next prime is 422189857. The reversal of 422189856 is 658981224.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (422189857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223990 + ... + 225866.

It is an arithmetic number, because the mean of its divisors is an integer number (9228492).

Almost surely, 2422189856 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 422189856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664451424).

422189856 is an abundant number, since it is smaller than the sum of its proper divisors (906712992).

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

422189856 is a wasteful number, since it uses less digits than its factorization.

422189856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 422189856 is about 20547.2590872846. The cubic root of 422189856 is about 750.1865349358.

The spelling of 422189856 in words is "four hundred twenty-two million, one hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 71 72 88 96 99 132 142 144 176 198 213 264 284 288 352 396 426 528 568 639 781 792 852 1056 1136 1278 1562 1584 1704 1877 2272 2343 2556 3124 3168 3408 3754 4686 5112 5631 6248 6816 7029 7508 9372 10224 11262 12496 14058 15016 16893 18744 20448 20647 22524 24992 28116 30032 33786 37488 41294 45048 56232 60064 61941 67572 74976 82588 90096 112464 123882 133267 135144 165176 180192 185823 224928 247764 266534 270288 330352 371646 399801 495528 533068 540576 660704 743292 799602 991056 1066136 1199403 1465937 1486584 1599204 1982112 2132272 2398806 2931874 2973168 3198408 4264544 4397811 4797612 5863748 5946336 6396816 8795622 9595224 11727496 12793632 13193433 17591244 19190448 23454992 26386866 35182488 38380896 46909984 52773732 70364976 105547464 140729952 211094928 422189856