204274224 has 400 divisors, whose sum is σ = 777807360. Its totient is φ = 50181120.

The previous prime is 204274207. The next prime is 204274229. The reversal of 204274224 is 422472402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204274229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2295172 + ... + 2295260.

Almost surely, 2^204274224 is an apocalyptic number.

204274224 is a gapful number since it is divisible by the number (24) 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 204274224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

204274224 is an abundant number, since it is smaller than the sum of its proper divisors (573533136).

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

204274224 is a wasteful number, since it uses less digits than its factorization.

204274224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 204274224 is about 14292.4533933122. The cubic root of 204274224 is about 588.9401868423.

The spelling of 204274224 in words is "two hundred four million, two hundred seventy-four thousand, two hundred twenty-four".