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204424900 = 22522044249
BaseRepresentation
bin11000010111101…
…00011011000100
3112020122212020121
430023310123010
5404313044100
632141311324
75031403651
oct1413643304
9466585217
10204424900
11a54354a9
1258565544
13334763a4
141d214c28
1512e3051a
hexc2f46c4

204424900 has 18 divisors (see below), whose sum is σ = 443602250. Its totient is φ = 81769920.

The previous prime is 204424879. The next prime is 204424907. The reversal of 204424900 is 9424402.

It can be written as a sum of positive squares in 3 ways, for example, as 49284 + 204375616 = 222^2 + 14296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (204424907) 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 5 ways as a sum of consecutive naturals, for example, 1022025 + ... + 1022224.

Almost surely, 2204424900 is an apocalyptic number.

204424900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204424900 is an abundant number, since it is smaller than the sum of its proper divisors (239177350).

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

204424900 is a wasteful number, since it uses less digits than its factorization.

204424900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044263 (or 2044256 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 204424900 is about 14297.7235950343. The cubic root of 204424900 is about 589.0849552168.

It can be divided in two parts, 204 and 424900, that added together give a square (425104 = 6522).

The spelling of 204424900 in words is "two hundred four million, four hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2044249 4088498 8176996 10221245 20442490 40884980 51106225 102212450 204424900