204972228 has 192 divisors, whose sum is σ = 603187200. Its totient is φ = 59875200.

The previous prime is 204972227. The next prime is 204972259. The reversal of 204972228 is 822279402.

It is a happy number.

It is a super-2 number, since 2×204972228² = 84027228502567968, 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 = 204972192 and 204972201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204972221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2029378 + ... + 2029478.

It is an arithmetic number, because the mean of its divisors is an integer number (3141600).

Almost surely, 2^204972228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204972228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301593600).

204972228 is an abundant number, since it is smaller than the sum of its proper divisors (398214972).

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

204972228 is a wasteful number, since it uses less digits than its factorization.

204972228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 204972228 is about 14316.8511901186. The cubic root of 204972228 is about 589.6102261365.

The spelling of 204972228 in words is "two hundred four million, nine hundred seventy-two thousand, two hundred twenty-eight".