205200000 has 384 divisors, whose sum is σ = 796824000. Its totient is φ = 51840000.

The previous prime is 205199989. The next prime is 205200049. The reversal of 205200000 is 2502.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 10799991 + ... + 10800009.

Almost surely, 2^205200000 is an apocalyptic number.

205200000 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 205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398412000).

205200000 is an abundant number, since it is smaller than the sum of its proper divisors (591624000).

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

205200000 is an frugal number, since it uses more digits than its factorization.

205200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 205200000 is about 14324.8036635760. The cubic root of 205200000 is about 589.8285434949.

Adding to 205200000 its reverse (2502), we get a palindrome (205202502).

The spelling of 205200000 in words is "two hundred five million, two hundred thousand".