Search a number
-
+
199606248 = 233317192861
BaseRepresentation
bin10111110010110…
…11111111101000
3111220121001022000
423321123333220
5402044344443
631450131000
74642424262
oct1371337750
9456531260
10199606248
11a2744146
1256a20a60
133247a00a
141c71cb32
15127cc8d3
hexbe5bfe8

199606248 has 128 divisors (see below), whose sum is σ = 618192000. Its totient is φ = 59304960.

The previous prime is 199606243. The next prime is 199606261. The reversal of 199606248 is 842606991.

It is a happy number.

199606248 is a `hidden beast` number, since 19 + 9 + 6 + 0 + 624 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (199606243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68338 + ... + 71198.

It is an arithmetic number, because the mean of its divisors is an integer number (4829625).

Almost surely, 2199606248 is an apocalyptic number.

199606248 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 199606248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309096000).

199606248 is an abundant number, since it is smaller than the sum of its proper divisors (418585752).

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

199606248 is a wasteful number, since it uses less digits than its factorization.

199606248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 199606248 is about 14128.2075296196. The cubic root of 199606248 is about 584.4195162328.

The spelling of 199606248 in words is "one hundred ninety-nine million, six hundred six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1224 1292 1368 1836 1938 2052 2584 2861 2907 3672 3876 4104 5722 5814 7752 8583 8721 11444 11628 17166 17442 22888 23256 25749 34332 34884 48637 51498 54359 68664 69768 77247 97274 102996 108718 145911 154494 163077 194548 205992 217436 291822 308988 326154 389096 434872 437733 489231 583644 617976 652308 875466 924103 978462 1167288 1304616 1313199 1467693 1750932 1848206 1956924 2626398 2772309 2935386 3501864 3696412 3913848 5252796 5544618 5870772 7392824 8316927 10505592 11089236 11741544 16633854 22178472 24950781 33267708 49901562 66535416 99803124 199606248