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199304000 = 265373559
BaseRepresentation
bin10111110000100…
…10001101000000
3111220000200200122
423320102031000
5402010212000
631435435412
74640025140
oct1370221500
9456020618
10199304000
11a2558055
12568b5b68
13323a257c
141c680920
151276d085
hexbe12340

199304000 has 112 divisors (see below), whose sum is σ = 564245760. Its totient is φ = 68313600.

The previous prime is 199303997. The next prime is 199304033. The reversal of 199304000 is 403991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54221 + ... + 57779.

Almost surely, 2199304000 is an apocalyptic number.

199304000 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 199304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282122880).

199304000 is an abundant number, since it is smaller than the sum of its proper divisors (364941760).

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

199304000 is an equidigital number, since it uses as much as digits as its factorization.

199304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 199304000 is about 14117.5068620490. The cubic root of 199304000 is about 584.1243870908.

Adding to 199304000 its reverse (403991), we get a palindrome (199707991).

The spelling of 199304000 in words is "one hundred ninety-nine million, three hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 3559 4000 5600 7000 7118 8000 11200 14000 14236 17795 24913 28000 28472 35590 49826 56000 56944 71180 88975 99652 113888 124565 142360 177950 199304 227776 249130 284720 355900 398608 444875 498260 569440 622825 711800 797216 889750 996520 1138880 1245650 1423600 1594432 1779500 1993040 2491300 2847200 3114125 3559000 3986080 4982600 5694400 6228250 7118000 7972160 9965200 12456500 14236000 19930400 24913000 28472000 39860800 49826000 99652000 199304000