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196722864 = 243313231523
BaseRepresentation
bin10111011100111…
…00000010110000
3111201011120001000
423232130002300
5400330112424
631304242000
74606055022
oct1356340260
9451146030
10196722864
11a1054888
1255a70300
13319aa780
141c1ac012
151240d3c9
hexbb9c0b0

196722864 has 160 divisors (see below), whose sum is σ = 634959360. Its totient is φ = 57860352.

The previous prime is 196722859. The next prime is 196722913. The reversal of 196722864 is 468227691.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128407 + ... + 129929.

It is an arithmetic number, because the mean of its divisors is an integer number (3968496).

Almost surely, 2196722864 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 196722864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

196722864 is an abundant number, since it is smaller than the sum of its proper divisors (438236496).

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

196722864 is a wasteful number, since it uses less digits than its factorization.

196722864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 196722864 is about 14025.7928118164. The cubic root of 196722864 is about 581.5918064521.

The spelling of 196722864 in words is "one hundred ninety-six million, seven hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 104 108 117 138 144 156 184 207 208 216 234 276 299 312 351 368 414 432 468 552 598 621 624 702 828 897 936 1104 1196 1242 1404 1523 1656 1794 1872 2392 2484 2691 2808 3046 3312 3588 4569 4784 4968 5382 5616 6092 7176 8073 9138 9936 10764 12184 13707 14352 16146 18276 19799 21528 24368 27414 32292 35029 36552 39598 41121 43056 54828 59397 64584 70058 73104 79196 82242 105087 109656 118794 129168 140116 158392 164484 178191 210174 219312 237588 280232 315261 316784 328968 356382 420348 455377 475176 534573 560464 630522 657936 712764 840696 910754 945783 950352 1069146 1261044 1366131 1425528 1681392 1821508 1891566 2138292 2522088 2732262 2851056 3643016 3783132 4098393 4276584 5044176 5464524 7286032 7566264 8196786 8553168 10929048 12295179 15132528 16393572 21858096 24590358 32787144 49180716 65574288 98361432 196722864