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199462080 = 26351731201
BaseRepresentation
bin10111110001110…
…00110011000000
3111220022201112110
423320320303000
5402030241310
631443055320
74641254046
oct1370706300
9456281473
10199462080
11a26558a4
1256971540
13324294cc
141c6c2396
151279ed20
hexbe38cc0

199462080 has 112 divisors (see below), whose sum is σ = 637483104. Its totient is φ = 52838400.

The previous prime is 199461989. The next prime is 199462097. The reversal of 199462080 is 80264991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165480 + ... + 166680.

Almost surely, 2199462080 is an apocalyptic number.

199462080 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 199462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318741552).

199462080 is an abundant number, since it is smaller than the sum of its proper divisors (438021024).

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

199462080 is a wasteful number, since it uses less digits than its factorization.

199462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 199462080 is about 14123.1044745835. The cubic root of 199462080 is about 584.2787810163.

The spelling of 199462080 in words is "one hundred ninety-nine million, four hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 173 192 240 320 346 480 519 692 865 960 1038 1201 1384 1730 2076 2402 2595 2768 3460 3603 4152 4804 5190 5536 6005 6920 7206 8304 9608 10380 11072 12010 13840 14412 16608 18015 19216 20760 24020 27680 28824 33216 36030 38432 41520 48040 55360 57648 72060 76864 83040 96080 115296 144120 166080 192160 207773 230592 288240 384320 415546 576480 623319 831092 1038865 1152960 1246638 1662184 2077730 2493276 3116595 3324368 4155460 4986552 6233190 6648736 8310920 9973104 12466380 13297472 16621840 19946208 24932760 33243680 39892416 49865520 66487360 99731040 199462080