Search a number
-
+
199126656 = 2732172853
BaseRepresentation
bin10111101111001…
…10111010000000
3111212200200102100
423313212322000
5401434023111
631431550400
74635356121
oct1367467200
9455620370
10199126656
11a2446893
125682b400
133233c931
141c636048
1512735756
hexbde6e80

199126656 has 48 divisors (see below), whose sum is σ = 573011010. Its totient is φ = 66375168.

The previous prime is 199126649. The next prime is 199126667. The reversal of 199126656 is 656621991.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 197121600 + 2005056 = 14040^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85275 + ... + 87578.

Almost surely, 2199126656 is an apocalyptic number.

199126656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199126656 is an abundant number, since it is smaller than the sum of its proper divisors (373884354).

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

199126656 is a wasteful number, since it uses less digits than its factorization.

199126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172873 (or 172858 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 199126656 is about 14111.2244684861. The cubic root of 199126656 is about 583.9510811592.

The spelling of 199126656 in words is "one hundred ninety-nine million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 172853 345706 518559 691412 1037118 1382824 1555677 2074236 2765648 3111354 4148472 5531296 6222708 8296944 11062592 12445416 16593888 22125184 24890832 33187776 49781664 66375552 99563328 199126656