200212641 has 40 divisors (see below), whose sum is σ = 307751400. Its totient is φ = 129662208.

The previous prime is 200212637. The next prime is 200212651. The reversal of 200212641 is 146212002.

200212641 is a `hidden beast` number, since 2 + 0 + 0 + 21 + 2 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 810000 + 199402641 = 900^2 + 14121^2 .

It is not a de Polignac number, because 200212641 - 2² = 200212637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200212651) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 639501 + ... + 639813.

It is an arithmetic number, because the mean of its divisors is an integer number (7693785).

Almost surely, 2^200212641 is an apocalyptic number.

It is an amenable number.

200212641 is a deficient number, since it is larger than the sum of its proper divisors (107538759).

200212641 is a wasteful number, since it uses less digits than its factorization.

200212641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 200212641 is about 14149.6516211531. The cubic root of 200212641 is about 585.0107295862.

Adding to 200212641 its reverse (146212002), we get a palindrome (346424643).

The spelling of 200212641 in words is "two hundred million, two hundred twelve thousand, six hundred forty-one".