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797223168 = 2833716477
BaseRepresentation
bin101111100001001…
…010100100000000
32001120010010121000
4233201022210000
53113042120133
6211035132000
725520166540
oct5741124400
92046103530
10797223168
1137a014625
121a2ba4000
13c921ccb1
1477c45320
1549ec9413
hex2f84a900

797223168 has 144 divisors (see below), whose sum is σ = 2694482560. Its totient is φ = 227764224.

The previous prime is 797223101. The next prime is 797223173. The reversal of 797223168 is 861322797.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40146 + ... + 56622.

Almost surely, 2797223168 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 797223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347241280).

797223168 is an abundant number, since it is smaller than the sum of its proper divisors (1897259392).

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

797223168 is a wasteful number, since it uses less digits than its factorization.

797223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509 (or 16489 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 797223168 is about 28235.1406584065. The cubic root of 797223168 is about 927.2424455666.

The spelling of 797223168 in words is "seven hundred ninety-seven million, two hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 16477 24192 32954 48384 49431 65908 98862 115339 131816 148293 197724 230678 263632 296586 346017 395448 444879 461356 527264 593172 692034 790896 889758 922712 1038051 1054528 1186344 1384068 1581792 1779516 1845424 2076102 2109056 2372688 2768136 3114153 3163584 3559032 3690848 4152204 4218112 4745376 5536272 6228306 6327168 7118064 7381696 8304408 9490752 11072544 12456612 12654336 14236128 14763392 16608816 18981504 22145088 24913224 28472256 29526784 33217632 37963008 44290176 49826448 56944512 66435264 88580352 99652896 113889024 132870528 199305792 265741056 398611584 797223168