Search a number
-
+
199368900 = 2232521989131
BaseRepresentation
bin10111110001000…
…10000011000100
3111220010222201100
423320202003010
5402014301100
631441100100
74640415303
oct1370420304
9456128640
10199368900
11a25a1895
1256927630
13323c5c83
141c69a43a
1512782400
hexbe220c4

199368900 has 216 divisors, whose sum is σ = 670269600. Its totient is φ = 49420800.

The previous prime is 199368893. The next prime is 199368907. The reversal of 199368900 is 9863991.

199368900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199368893) and next prime (199368907).

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

It is not an unprimeable number, because it can be changed into a prime (199368907) 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 71 ways as a sum of consecutive naturals, for example, 1521835 + ... + 1521965.

It is an arithmetic number, because the mean of its divisors is an integer number (3103100).

Almost surely, 2199368900 is an apocalyptic number.

199368900 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 199368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335134800).

199368900 is an abundant number, since it is smaller than the sum of its proper divisors (470900700).

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

199368900 is a wasteful number, since it uses less digits than its factorization.

199368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199368900 is about 14119.8052394500. The cubic root of 199368900 is about 584.1877836417.

The spelling of 199368900 in words is "one hundred ninety-nine million, three hundred sixty-eight thousand, nine hundred".