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199444986 = 2321317181277
BaseRepresentation
bin10111110001101…
…00100111111010
3111220021212002100
423320310213322
5402024214421
631442444230
74641153156
oct1370644772
9456255070
10199444986
11a2643a74
1256963676
13324217b0
141c6ba066
1512799c26
hexbe349fa

199444986 has 96 divisors (see below), whose sum is σ = 497257488. Its totient is φ = 57231360.

The previous prime is 199444913. The next prime is 199445009. The reversal of 199444986 is 689444991.

It is a happy number.

199444986 is a `hidden beast` number, since 199 + 4 + 449 + 8 + 6 = 666.

199444986 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9418761 + 190026225 = 3069^2 + 13785^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719880 + ... + 720156.

Almost surely, 2199444986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199444986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248628744).

199444986 is an abundant number, since it is smaller than the sum of its proper divisors (297812502).

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

199444986 is a wasteful number, since it uses less digits than its factorization.

199444986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 199444986 is about 14122.4992830589. The cubic root of 199444986 is about 584.2620895449.

It can be divided in two parts, 19944 and 4986, that multiplied together give a square (99440784 = 99722).

The spelling of 199444986 in words is "one hundred ninety-nine million, four hundred forty-four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 181 221 234 277 306 362 442 543 554 663 831 1086 1326 1629 1662 1989 2353 2493 3077 3258 3601 3978 4706 4709 4986 6154 7059 7202 9231 9418 10803 14118 14127 18462 21177 21606 27693 28254 32409 40001 42354 42381 50137 55386 61217 64818 80002 84762 100274 120003 122434 150411 183651 240006 300822 360009 367302 451233 550953 651781 720018 852329 902466 1101906 1303562 1704658 1955343 2556987 3910686 5113974 5866029 7670961 11080277 11732058 15341922 22160554 33240831 66481662 99722493 199444986