205202240 has 112 divisors (see below), whose sum is σ = 526036032. Its totient is φ = 75964416.

The previous prime is 205202213. The next prime is 205202243. The reversal of 205202240 is 42202502.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205202243) 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 15 ways as a sum of consecutive naturals, for example, 364199 + ... + 364761.

Almost surely, 2^205202240 is an apocalyptic number.

205202240 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 205202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263018016).

205202240 is an abundant number, since it is smaller than the sum of its proper divisors (320833792).

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

205202240 is a wasteful number, since it uses less digits than its factorization.

205202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 205202240 is about 14324.8818494255. The cubic root of 205202240 is about 589.8306897118.

Adding to 205202240 its reverse (42202502), we get a palindrome (247404742).

The spelling of 205202240 in words is "two hundred five million, two hundred two thousand, two hundred forty".