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196215318 = 233131947313
BaseRepresentation
bin10111011001000…
…00001000010110
3111200012202211000
423230200020112
5400212342233
631245324130
74601542215
oct1354401026
9450182730
10196215318
11a0838522
1255866646
1331860750
141c0b907c
151235cd13
hexbb20216

196215318 has 128 divisors (see below), whose sum is σ = 506419200. Its totient is φ = 55800576.

The previous prime is 196215311. The next prime is 196215353. The reversal of 196215318 is 813512691.

196215318 is a `hidden beast` number, since 19 + 621 + 5 + 3 + 18 = 666.

It is a super-2 number, since 2×1962153182 = 77000902035682248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196215311) 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 63 ways as a sum of consecutive naturals, for example, 626730 + ... + 627042.

It is an arithmetic number, because the mean of its divisors is an integer number (3956400).

Almost surely, 2196215318 is an apocalyptic number.

196215318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 196215318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253209600).

196215318 is an abundant number, since it is smaller than the sum of its proper divisors (310203882).

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

196215318 is a wasteful number, since it uses less digits than its factorization.

196215318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 196215318 is about 14007.6878177664. The cubic root of 196215318 is about 581.0912057377.

The spelling of 196215318 in words is "one hundred ninety-six million, two hundred fifteen thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 47 54 57 78 94 114 117 141 171 234 247 282 313 342 351 423 494 513 611 626 702 741 846 893 939 1026 1222 1269 1482 1786 1833 1878 2223 2538 2679 2817 3666 4069 4446 5358 5499 5634 5947 6669 8037 8138 8451 10998 11609 11894 12207 13338 14711 16074 16497 16902 17841 23218 24111 24414 29422 32994 34827 35682 36621 44133 48222 53523 69654 73242 77311 88266 104481 107046 109863 132399 154622 160569 191243 208962 219726 231933 264798 279509 313443 321138 382486 397197 463866 559018 573729 626886 695799 794394 838527 1147458 1391598 1677054 1721187 2087397 2515581 3442374 3633617 4174794 5031162 5163561 7267234 7546743 10327122 10900851 15093486 21801702 32702553 65405106 98107659 196215318