200114208 has 144 divisors (see below), whose sum is σ = 688746240. Its totient is φ = 53803008.

The previous prime is 200114197. The next prime is 200114209. The reversal of 200114208 is 802411002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200114209) 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 23 ways as a sum of consecutive naturals, for example, 31353 + ... + 37191.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^200114208 is an apocalyptic number.

200114208 is a gapful number since it is divisible by the number (28) 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 200114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

200114208 is an abundant number, since it is smaller than the sum of its proper divisors (488632032).

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

200114208 is a wasteful number, since it uses less digits than its factorization.

200114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 200114208 is about 14146.1729100135. The cubic root of 200114208 is about 584.9148418667.

The spelling of 200114208 in words is "two hundred million, one hundred fourteen thousand, two hundred eight".