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199847284 = 227213411913
BaseRepresentation
bin10111110100101…
…10110101110100
3111221001021221021
423322112311310
5402130103114
631455230524
74644450100
oct1372266564
9457037837
10199847284
11a289924a
1256b18444
1332532940
141c782900
1512829024
hexbe96d74

199847284 has 72 divisors (see below), whose sum is σ = 449047368. Its totient is φ = 77091840.

The previous prime is 199847269. The next prime is 199847357. The reversal of 199847284 is 482748991.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3062500 + 196784784 = 1750^2 + 14028^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 103512 + ... + 105424.

It is an arithmetic number, because the mean of its divisors is an integer number (6236769).

Almost surely, 2199847284 is an apocalyptic number.

199847284 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 199847284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224523684).

199847284 is an abundant number, since it is smaller than the sum of its proper divisors (249200084).

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

199847284 is a wasteful number, since it uses less digits than its factorization.

199847284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The square root of 199847284 is about 14136.7352666731. The cubic root of 199847284 is about 584.6546616430.

The spelling of 199847284 in words is "one hundred ninety-nine million, eight hundred forty-seven thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 182 196 287 364 533 574 637 1066 1148 1274 1913 2009 2132 2548 3731 3826 4018 7462 7652 8036 13391 14924 24869 26117 26782 49738 52234 53564 78433 93737 99476 104468 156866 174083 187474 313732 348166 374948 549031 696332 1019629 1098062 1218581 2039258 2196124 2437162 3843217 4078516 4874324 7137403 7686434 14274806 15372868 28549612 49961821 99923642 199847284