204248200 has 96 divisors (see below), whose sum is σ = 541605960. Its totient is φ = 70963200.

The previous prime is 204248179. The next prime is 204248207. The reversal of 204248200 is 2842402.

It can be written as a sum of positive squares in 12 ways, for example, as 3912484 + 200335716 = 1978^2 + 14154^2 .

It is not an unprimeable number, because it can be changed into a prime (204248207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41890 + ... + 46510.

Almost surely, 2^204248200 is an apocalyptic number.

204248200 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 204248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270802980).

204248200 is an abundant number, since it is smaller than the sum of its proper divisors (337357760).

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

204248200 is a wasteful number, since it uses less digits than its factorization.

204248200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 204248200 is about 14291.5429537891. The cubic root of 204248200 is about 588.9151759688.

The spelling of 204248200 in words is "two hundred four million, two hundred forty-eight thousand, two hundred".