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197161146 = 232713247197
BaseRepresentation
bin10111100000001…
…11000010111010
3111201222211020200
423300013002322
5400433124041
631321503030
74612561560
oct1360070272
9451884220
10197161146
11a13240a6
1256041a76
1331b02100
141c283a30
15124981b6
hexbc070ba

197161146 has 144 divisors (see below), whose sum is σ = 542640384. Its totient is φ = 50633856.

The previous prime is 197161141. The next prime is 197161163. The reversal of 197161146 is 641161791.

It is a self number, because there is not a number n which added to its sum of digits gives 197161146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197161141) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1000720 + ... + 1000916.

It is an arithmetic number, because the mean of its divisors is an integer number (3768336).

Almost surely, 2197161146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197161146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271320192).

197161146 is an abundant number, since it is smaller than the sum of its proper divisors (345479238).

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

197161146 is a wasteful number, since it uses less digits than its factorization.

197161146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 197161146 is about 14041.4082627064. The cubic root of 197161146 is about 582.0233986412.

The spelling of 197161146 in words is "one hundred ninety-seven million, one hundred sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 47 63 78 91 94 117 126 141 169 182 197 234 273 282 329 338 394 423 507 546 591 611 658 819 846 987 1014 1182 1183 1222 1379 1521 1638 1773 1833 1974 2366 2561 2758 2961 3042 3546 3549 3666 4137 4277 5122 5499 5922 7098 7683 7943 8274 8554 9259 10647 10998 12411 12831 15366 15886 17927 18518 21294 23049 23829 24822 25662 27777 33293 35854 38493 46098 47658 53781 55554 55601 64813 66586 71487 76986 83331 99879 107562 111202 120367 129626 142974 161343 166662 166803 194439 199758 233051 240734 299637 322686 333606 361101 388878 466102 500409 583317 599274 699153 722202 842569 1000818 1083303 1166634 1398306 1564771 1685138 2097459 2166606 2527707 3129542 4194918 4694313 5055414 7583121 9388626 10953397 14082939 15166242 21906794 28165878 32860191 65720382 98580573 197161146