Search a number
-
+
198383280 = 24352383433
BaseRepresentation
bin10111101001100…
…01011010110000
3111211021220200220
423310301122300
5401241231110
631404013040
74626141624
oct1364613260
9454256626
10198383280
11a1a89327
1256531180
133213c474
141c4c1184
151263a370
hexbd316b0

198383280 has 160 divisors (see below), whose sum is σ = 650958336. Its totient is φ = 49876992.

The previous prime is 198383249. The next prime is 198383281. The reversal of 198383280 is 82383891.

198383280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (198383281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457944 + ... + 458376.

Almost surely, 2198383280 is an apocalyptic number.

198383280 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 198383280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325479168).

198383280 is an abundant number, since it is smaller than the sum of its proper divisors (452575056).

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

198383280 is a wasteful number, since it uses less digits than its factorization.

198383280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 198383280 is about 14084.8599567053. The cubic root of 198383280 is about 583.2235098465.

The spelling of 198383280 in words is "one hundred ninety-eight million, three hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 83 92 115 120 138 166 184 230 240 249 276 332 345 368 415 433 460 498 552 664 690 830 866 920 996 1104 1245 1299 1328 1380 1660 1732 1840 1909 1992 2165 2490 2598 2760 3320 3464 3818 3984 4330 4980 5196 5520 5727 6495 6640 6928 7636 8660 9545 9959 9960 10392 11454 12990 15272 17320 19090 19918 19920 20784 22908 25980 28635 29877 30544 34640 35939 38180 39836 45816 49795 51960 57270 59754 71878 76360 79672 91632 99590 103920 107817 114540 119508 143756 149385 152720 159344 179695 199180 215634 229080 239016 287512 298770 359390 398360 431268 458160 478032 539085 575024 597540 718780 796720 826597 862536 1078170 1195080 1437560 1653194 1725072 2156340 2390160 2479791 2875120 3306388 4132985 4312680 4959582 6612776 8265970 8625360 9919164 12398955 13225552 16531940 19838328 24797910 33063880 39676656 49595820 66127760 99191640 198383280