205200114 has 64 divisors (see below), whose sum is σ = 510796800. Its totient is φ = 53621568.

The previous prime is 205200097. The next prime is 205200119. The reversal of 205200114 is 411002502.

It is a super-2 number, since 2×205200114² = 84214173571225992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205200093 and 205200102.

It is not an unprimeable number, because it can be changed into a prime (205200119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18709 + ... + 27575.

It is an arithmetic number, because the mean of its divisors is an integer number (7981200).

Almost surely, 2^205200114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255398400).

205200114 is an abundant number, since it is smaller than the sum of its proper divisors (305596686).

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

205200114 is a wasteful number, since it uses less digits than its factorization.

205200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 205200114 is about 14324.8076426876. The cubic root of 205200114 is about 589.8286527224.

Adding to 205200114 its reverse (411002502), we get a palindrome (616202616).

The spelling of 205200114 in words is "two hundred five million, two hundred thousand, one hundred fourteen".