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198702168 = 233767127139
BaseRepresentation
bin10111101011111…
…11010001011000
3111211220010010120
423311333101120
5401331432133
631414513240
74631640420
oct1365772130
9454803116
10198702168
11a2186975
1256665820
1332221662
141c565480
151269eab3
hexbd7f458

198702168 has 128 divisors (see below), whose sum is σ = 584908800. Its totient is φ = 55085184.

The previous prime is 198702151. The next prime is 198702187. The reversal of 198702168 is 861207891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429443 + ... + 1429581.

It is an arithmetic number, because the mean of its divisors is an integer number (4569600).

Almost surely, 2198702168 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 198702168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292454400).

198702168 is an abundant number, since it is smaller than the sum of its proper divisors (386206632).

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

198702168 is a wasteful number, since it uses less digits than its factorization.

198702168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 198702168 is about 14096.1756515730. The cubic root of 198702168 is about 583.5358402938.

The spelling of 198702168 in words is "one hundred ninety-eight million, seven hundred two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 127 134 139 168 201 254 268 278 381 402 417 469 508 536 556 762 804 834 889 938 973 1016 1112 1407 1524 1608 1668 1778 1876 1946 2667 2814 2919 3048 3336 3556 3752 3892 5334 5628 5838 7112 7784 8509 9313 10668 11256 11676 17018 17653 18626 21336 23352 25527 27939 34036 35306 37252 51054 52959 55878 59563 65191 68072 70612 74504 102108 105918 111756 119126 123571 130382 141224 178689 195573 204216 211836 223512 238252 247142 260764 357378 370713 391146 423672 476504 494284 521528 714756 741426 782292 988568 1182751 1429512 1482852 1564584 2365502 2965704 3548253 4731004 7096506 8279257 9462008 14193012 16558514 24837771 28386024 33117028 49675542 66234056 99351084 198702168