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198112068 = 22357112647
BaseRepresentation
bin10111100111011…
…11001101000100
3111210210010200000
423303233031010
5401204041233
631354121300
74623632130
oct1363571504
9453703600
10198112068
11a1913590
1256420230
1332075b9b
141c4503c0
15125d4d13
hexbcef344

198112068 has 144 divisors (see below), whose sum is σ = 647721984. Its totient is φ = 51438240.

The previous prime is 198112063. The next prime is 198112073. The reversal of 198112068 is 860211891.

It is an interprime number because it is at equal distance from previous prime (198112063) and next prime (198112073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (198112063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73521 + ... + 76167.

Almost surely, 2198112068 is an apocalyptic number.

198112068 is a gapful number since it is divisible by the number (18) 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 198112068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323860992).

198112068 is an abundant number, since it is smaller than the sum of its proper divisors (449609916).

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

198112068 is a wasteful number, since it uses less digits than its factorization.

198112068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 198112068 is about 14075.2288791337. The cubic root of 198112068 is about 582.9576115119.

The spelling of 198112068 in words is "one hundred ninety-eight million, one hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 2079 2268 2647 2673 2772 3402 3564 4158 5294 5346 6237 6804 7941 8316 10588 10692 12474 15882 18529 18711 23823 24948 29117 31764 37058 37422 47646 55587 58234 71469 74116 74844 87351 95292 111174 116468 142938 166761 174702 203819 214407 222348 262053 285876 333522 349404 407638 428814 500283 524106 611457 643221 667044 786159 815276 857628 1000566 1048212 1222914 1286442 1500849 1572318 1834371 2001132 2358477 2445828 2572884 3001698 3144636 3668742 4502547 4716954 5503113 6003396 7075431 7337484 9005094 9433908 11006226 14150862 16509339 18010188 22012452 28301724 33018678 49528017 66037356 99056034 198112068