Search a number
-
+
198191168 = 2671753491
BaseRepresentation
bin10111101000000…
…10100001000000
3111210221011011122
423310002201000
5401214104133
631355531412
74624411550
oct1364024100
9453834148
10198191168
11a1967a5a
1256459b68
13320a2ba6
141c471160
15125ed498
hexbd02840

198191168 has 112 divisors (see below), whose sum is σ = 485875584. Its totient is φ = 78274560.

The previous prime is 198191143. The next prime is 198191173. The reversal of 198191168 is 861191891.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403403 + ... + 403893.

Almost surely, 2198191168 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 198191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242937792).

198191168 is an abundant number, since it is smaller than the sum of its proper divisors (287684416).

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

198191168 is a wasteful number, since it uses less digits than its factorization.

198191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 31104, while the sum is 44.

The square root of 198191168 is about 14078.0384997343. The cubic root of 198191168 is about 583.0351868154.

The spelling of 198191168 in words is "one hundred ninety-eight million, one hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 64 68 106 112 119 136 212 224 238 272 371 424 448 476 491 544 742 848 901 952 982 1088 1484 1696 1802 1904 1964 2968 3392 3437 3604 3808 3928 5936 6307 6874 7208 7616 7856 8347 11872 12614 13748 14416 15712 16694 23744 25228 26023 27496 28832 31424 33388 50456 52046 54992 57664 58429 66776 100912 104092 109984 116858 133552 182161 201824 208184 219968 233716 267104 364322 403648 416368 442391 467432 534208 728644 832736 884782 934864 1457288 1665472 1769564 1869728 2914576 3096737 3539128 3739456 5829152 6193474 7078256 11658304 12386948 14156512 24773896 28313024 49547792 99095584 198191168