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199883700 = 22345224677
BaseRepresentation
bin10111110100111…
…11101110110100
3111221010010220000
423322133232310
5402132234300
631500111300
74644661212
oct1372375664
9457103800
10199883700
11a2913645
1256b35530
13325463a3
141c791cb2
1512834c00
hexbe9fbb4

199883700 has 90 divisors (see below), whose sum is σ = 647970246. Its totient is φ = 53300160.

The previous prime is 199883699. The next prime is 199883701. The reversal of 199883700 is 7388991.

It is an interprime number because it is at equal distance from previous prime (199883699) and next prime (199883701).

It can be written as a sum of positive squares in 3 ways, for example, as 37015056 + 162868644 = 6084^2 + 12762^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199883701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4239 + ... + 20438.

Almost surely, 2199883700 is an apocalyptic number.

199883700 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 199883700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323985123).

199883700 is an abundant number, since it is smaller than the sum of its proper divisors (448086546).

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

199883700 is a wasteful number, since it uses less digits than its factorization.

199883700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24703 (or 24687 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 199883700 is about 14138.0231998678. The cubic root of 199883700 is about 584.6901712426.

The spelling of 199883700 in words is "one hundred ninety-nine million, eight hundred eighty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 24677 49354 74031 98708 123385 148062 222093 246770 296124 370155 444186 493540 616925 666279 740310 888372 1110465 1233850 1332558 1480620 1850775 1998837 2220930 2467700 2665116 3331395 3701550 3997674 4441860 5552325 6662790 7403100 7995348 9994185 11104650 13325580 16656975 19988370 22209300 33313950 39976740 49970925 66627900 99941850 199883700