Search a number
-
+
200499200 = 213521189
BaseRepresentation
bin10111111001101…
…10000000000000
3111222021102012022
423330312000000
5402311433300
631521221012
74653133526
oct1374660000
9458242168
10200499200
11a31a4020
1257191768
13327005a5
141c8b2316
1512907285
hexbf36000

200499200 has 168 divisors, whose sum is σ = 548502840. Its totient is φ = 72089600.

The previous prime is 200499193. The next prime is 200499203. The reversal of 200499200 is 2994002.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 200499200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200499203) by changing a digit.

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, 2252756 + ... + 2252844.

Almost surely, 2200499200 is an apocalyptic number.

200499200 is a gapful number since it is divisible by the number (20) 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 200499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274251420).

200499200 is an abundant number, since it is smaller than the sum of its proper divisors (348003640).

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

200499200 is an equidigital number, since it uses as much as digits as its factorization.

200499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 200499200 is about 14159.7740094961. The cubic root of 200499200 is about 585.2896999396.

The spelling of 200499200 in words is "two hundred million, four hundred ninety-nine thousand, two hundred".