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199383808 = 2813181331
BaseRepresentation
bin10111110001001…
…01101100000000
3111220011202011111
423320211230000
5402020240213
631441253104
74640506621
oct1370455400
9456152144
10199383808
11a2602008
1256934194
13323cc9b0
141c6a1a48
1512786a3d
hexbe25b00

199383808 has 72 divisors (see below), whose sum is σ = 432273296. Its totient is φ = 91238400.

The previous prime is 199383799. The next prime is 199383841. The reversal of 199383808 is 808383991.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602203 + ... + 602533.

Almost surely, 2199383808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199383808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216136648).

199383808 is an abundant number, since it is smaller than the sum of its proper divisors (232889488).

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

199383808 is a wasteful number, since it uses less digits than its factorization.

199383808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The square root of 199383808 is about 14120.3331405459. Note that the first 3 decimals coincide. The cubic root of 199383808 is about 584.2023443454.

The spelling of 199383808 in words is "one hundred ninety-nine million, three hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 181 208 256 331 362 416 662 724 832 1324 1448 1664 2353 2648 2896 3328 4303 4706 5296 5792 8606 9412 10592 11584 17212 18824 21184 23168 34424 37648 42368 46336 59911 68848 75296 84736 119822 137696 150592 239644 275392 301184 479288 550784 602368 778843 958576 1101568 1557686 1917152 3115372 3834304 6230744 7668608 12461488 15337216 24922976 49845952 99691904 199383808