200825742 has 96 divisors (see below), whose sum is σ = 463795200. Its totient is φ = 57822336.

The previous prime is 200825731. The next prime is 200825759. The reversal of 200825742 is 247528002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842384 + ... + 1842492.

It is an arithmetic number, because the mean of its divisors is an integer number (4831200).

Almost surely, 2^200825742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200825742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231897600).

200825742 is an abundant number, since it is smaller than the sum of its proper divisors (262969458).

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

200825742 is a wasteful number, since it uses less digits than its factorization.

200825742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 200825742 is about 14171.2999403724. The cubic root of 200825742 is about 585.6072706274.

The spelling of 200825742 in words is "two hundred million, eight hundred twenty-five thousand, seven hundred forty-two".