204230454220200 has 384 divisors, whose sum is σ = 675012783916800. Its totient is φ = 50902173204480.

The previous prime is 204230454220181. The next prime is 204230454220213. The reversal of 204230454220200 is 2022454032402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2864868957 + ... + 2864940243.

It is an arithmetic number, because the mean of its divisors is an integer number (1757845791450).

Almost surely, 2^{204230454220200} is an apocalyptic number.

204230454220200 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 204230454220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337506391958400).

204230454220200 is an abundant number, since it is smaller than the sum of its proper divisors (470782329696600).

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

204230454220200 is a wasteful number, since it uses less digits than its factorization.

204230454220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73269 (or 73260 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 204230454220200 in words is "two hundred four trillion, two hundred thirty billion, four hundred fifty-four million, two hundred twenty thousand, two hundred".