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204424000 = 26531123101
BaseRepresentation
bin11000010111101…
…00001101000000
3112020122211000021
430023310031000
5404313032000
632141303224
75031401224
oct1413641500
9466584007
10204424000
11a5434860
1258564b14
1333475b61
141d214784
1512e3011a
hexc2f4340

204424000 has 224 divisors, whose sum is σ = 581997312. Its totient is φ = 70400000.

The previous prime is 204423979. The next prime is 204424007. The reversal of 204424000 is 424402.

204424000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204424007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023950 + ... + 2024050.

Almost surely, 2204424000 is an apocalyptic number.

204424000 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 204424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290998656).

204424000 is an abundant number, since it is smaller than the sum of its proper divisors (377573312).

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

204424000 is a wasteful number, since it uses less digits than its factorization.

204424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 204424000 is about 14297.6921214579. The cubic root of 204424000 is about 589.0840907147.

Adding to 204424000 its reverse (424402), we get a palindrome (204848402).

It can be divided in two parts, 20442 and 4000, that added together give a palindrome (24442).

The spelling of 204424000 in words is "two hundred four million, four hundred twenty-four thousand".