Search a number
-
+
200330000 = 2454132367
BaseRepresentation
bin10111111000011…
…00101100010000
3111221221211002122
423330030230100
5402241030000
631513433412
74651530323
oct1374145420
9457854078
10200330000
11a3098992
125710b868
1332671580
141c86a7ba
15128c2085
hexbf0cb10

200330000 has 200 divisors, whose sum is σ = 553172928. Its totient is φ = 69696000.

The previous prime is 200329973. The next prime is 200330033. The reversal of 200330000 is 33002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200330000.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2989967 + ... + 2990033.

Almost surely, 2200330000 is an apocalyptic number.

200330000 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 200330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276586464).

200330000 is an abundant number, since it is smaller than the sum of its proper divisors (352842928).

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

200330000 is a wasteful number, since it uses less digits than its factorization.

200330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 200330000 is about 14153.7980768414. The cubic root of 200330000 is about 585.1250128527.

Adding to 200330000 its reverse (33002), we get a palindrome (200363002).

The spelling of 200330000 in words is "two hundred million, three hundred thirty thousand".