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204442020 = 223253730697
BaseRepresentation
bin11000010111110…
…00100110100100
3112020200201201200
430023320212210
5404314121040
632141522500
75031504606
oct1413704644
9466621650
10204442020
11a5447352
1258573430
1333481113
141d21b176
1512e35630
hexc2f89a4

204442020 has 72 divisors (see below), whose sum is σ = 636922104. Its totient is φ = 53042688.

The previous prime is 204442013. The next prime is 204442097. The reversal of 204442020 is 20244402.

204442020 is a `hidden beast` number, since 20 + 444 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18610596 + 185831424 = 4314^2 + 13632^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204441984 and 204442002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8689 + ... + 22008.

Almost surely, 2204442020 is an apocalyptic number.

204442020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204442020 is an abundant number, since it is smaller than the sum of its proper divisors (432480084).

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

204442020 is a wasteful number, since it uses less digits than its factorization.

204442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30749 (or 30744 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204442020 is about 14298.3222792046. The cubic root of 204442020 is about 589.1013994838.

Adding to 204442020 its reverse (20244402), we get a palindrome (224686422).

The spelling of 204442020 in words is "two hundred four million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30697 61394 92091 122788 153485 184182 276273 306970 368364 460455 552546 613940 920910 1105092 1135789 1381365 1841820 2271578 2762730 3407367 4543156 5525460 5678945 6814734 10222101 11357890 13629468 17036835 20444202 22715780 34073670 40888404 51110505 68147340 102221010 204442020