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200841984 = 283372593
BaseRepresentation
bin10111111100010…
…01101100000000
3111222220211102000
423332021230000
5402403420414
631532424000
74656062100
oct1376115400
9458824360
10200841984
11a3408612
1257318000
13327c0615
141c961200
1512973b09
hexbf89b00

200841984 has 216 divisors, whose sum is σ = 692057520. Its totient is φ = 57286656.

The previous prime is 200841973. The next prime is 200841997. The reversal of 200841984 is 489148002.

It is a tau number, because it is divible by the number of its divisors (216).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338392 + ... + 338984.

It is an arithmetic number, because the mean of its divisors is an integer number (3203970).

Almost surely, 2200841984 is an apocalyptic number.

200841984 is a gapful number since it is divisible by the number (24) 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 200841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346028760).

200841984 is an abundant number, since it is smaller than the sum of its proper divisors (491215536).

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

200841984 is an equidigital number, since it uses as much as digits as its factorization.

200841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 200841984 is about 14171.8729884232. The cubic root of 200841984 is about 585.6230574098.

Adding to 200841984 its reverse (489148002), we get a palindrome (689989986).

The spelling of 200841984 in words is "two hundred million, eight hundred forty-one thousand, nine hundred eighty-four".