200838144 has 176 divisors, whose sum is σ = 594252288. Its totient is φ = 59916288.

The previous prime is 200838133. The next prime is 200838167. The reversal of 200838144 is 441838002.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1876939 + ... + 1877045.

Almost surely, 2^200838144 is an apocalyptic number.

200838144 is a gapful number since it is divisible by the number (24) 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 200838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297126144).

200838144 is an abundant number, since it is smaller than the sum of its proper divisors (393414144).

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

200838144 is a wasteful number, since it uses less digits than its factorization.

200838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 200838144 is about 14171.7375081533. The cubic root of 200838144 is about 585.6193251110.

The spelling of 200838144 in words is "two hundred million, eight hundred thirty-eight thousand, one hundred forty-four".