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199471104 = 212327773
BaseRepresentation
bin10111110001110…
…11000000000000
3111220100011220200
423320323000000
5402031033404
631443205200
74641322260
oct1370730000
9456304820
10199471104
11a2661658
1256976800
1332430651
141c6c57a0
15127a2839
hexbe3b000

199471104 has 156 divisors (see below), whose sum is σ = 659342736. Its totient is φ = 56918016.

The previous prime is 199471079. The next prime is 199471117. The reversal of 199471104 is 401174991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257662 + ... + 258434.

It is an arithmetic number, because the mean of its divisors is an integer number (4226556).

Almost surely, 2199471104 is an apocalyptic number.

199471104 is a gapful number since it is divisible by the number (14) 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 199471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329671368).

199471104 is an abundant number, since it is smaller than the sum of its proper divisors (459871632).

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

199471104 is an equidigital number, since it uses as much as digits as its factorization.

199471104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 199471104 is about 14123.4239474711. The cubic root of 199471104 is about 584.2875921350.

The spelling of 199471104 in words is "one hundred ninety-nine million, four hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 773 896 1008 1024 1152 1344 1536 1546 1792 2016 2048 2304 2319 2688 3072 3092 3584 4032 4096 4608 4638 5376 5411 6144 6184 6957 7168 8064 9216 9276 10752 10822 12288 12368 13914 14336 16128 16233 18432 18552 21504 21644 24736 27828 28672 32256 32466 36864 37104 43008 43288 48699 49472 55656 64512 64932 74208 86016 86576 97398 98944 111312 129024 129864 148416 173152 194796 197888 222624 258048 259728 296832 346304 389592 395776 445248 519456 593664 692608 779184 791552 890496 1038912 1187328 1385216 1558368 1583104 1780992 2077824 2374656 2770432 3116736 3166208 3561984 4155648 4749312 5540864 6233472 7123968 8311296 9498624 11081728 12466944 14247936 16622592 22163456 24933888 28495872 33245184 49867776 66490368 99735552 199471104