204873228 has 144 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 56160000.

The previous prime is 204873223. The next prime is 204873241. The reversal of 204873228 is 822378402.

It is a super-2 number, since 2×204873228² = 83946079102279968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204873192 and 204873201.

It is not an unprimeable number, because it can be changed into a prime (204873223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816103 + ... + 816353.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^204873228 is an apocalyptic number.

204873228 is a gapful number since it is divisible by the number (28) 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 204873228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

204873228 is an abundant number, since it is smaller than the sum of its proper divisors (411538932).

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

204873228 is a wasteful number, since it uses less digits than its factorization.

204873228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 204873228 is about 14313.3933083668. The cubic root of 204873228 is about 589.5152851240.

The spelling of 204873228 in words is "two hundred four million, eight hundred seventy-three thousand, two hundred twenty-eight".