Search a number
-
+
197217680 = 245111713183
BaseRepresentation
bin10111100000101…
…00110110010000
3111202002200210112
423300110312100
5400441431210
631323020452
74613215442
oct1360246620
9452080715
10197217680
11a1362620
125606a728
1331b21a6a
141c29a492
15124a9d05
hexbc14d90

197217680 has 80 divisors (see below), whose sum is σ = 529680384. Its totient is φ = 67491840.

The previous prime is 197217679. The next prime is 197217689. The reversal of 197217680 is 86712791.

197217680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (197217689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8369 + ... + 21551.

Almost surely, 2197217680 is an apocalyptic number.

197217680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264840192).

197217680 is an abundant number, since it is smaller than the sum of its proper divisors (332462704).

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

197217680 is a wasteful number, since it uses less digits than its factorization.

197217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13224 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 197217680 is about 14043.4212355822. The cubic root of 197217680 is about 582.0790231342.

The spelling of 197217680 in words is "one hundred ninety-seven million, two hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 13183 14960 26366 52732 65915 105464 131830 145013 210928 224111 263660 290026 448222 527320 580052 725065 896444 1054640 1120555 1160104 1450130 1792888 2241110 2320208 2465221 2900260 3585776 4482220 4930442 5800520 8964440 9860884 11601040 12326105 17928880 19721768 24652210 39443536 49304420 98608840 197217680