200114880 has 224 divisors, whose sum is σ = 736006656. Its totient is φ = 45121536.

The previous prime is 200114879. The next prime is 200114899. The reversal of 200114880 is 88411002.

200114880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200114880.

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 31 ways as a sum of consecutive naturals, for example, 651687 + ... + 651993.

It is an arithmetic number, because the mean of its divisors is an integer number (3285744).

Almost surely, 2^200114880 is an apocalyptic number.

200114880 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 200114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368003328).

200114880 is an abundant number, since it is smaller than the sum of its proper divisors (535891776).

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

200114880 is a wasteful number, since it uses less digits than its factorization.

200114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 200114880 is about 14146.1966620007. The cubic root of 200114880 is about 584.9154965967.

Adding to 200114880 its reverse (88411002), we get a palindrome (288525882).

The spelling of 200114880 in words is "two hundred million, one hundred fourteen thousand, eight hundred eighty".