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204200190 = 23759337
BaseRepresentation
bin11000010101111…
…01100011111110
3112020020110000000
430022331203332
5404233401230
632132415130
75026446555
oct1412754376
9466213000
10204200190
11a52a1697
12584774a6
13333c801c
141d196d9c
1512dd8b60
hexc2bd8fe

204200190 has 64 divisors (see below), whose sum is σ = 551315520. Its totient is φ = 54447552.

The previous prime is 204200177. The next prime is 204200207. The reversal of 204200190 is 91002402.

It is a super-2 number, since 2×2042001902 = 83395435192072200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17202 + ... + 26538.

It is an arithmetic number, because the mean of its divisors is an integer number (8614305).

Almost surely, 2204200190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204200190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275657760).

204200190 is an abundant number, since it is smaller than the sum of its proper divisors (347115330).

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

204200190 is an frugal number, since it uses more digits than its factorization.

204200190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9365 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 204200190 is about 14289.8631903878. The cubic root of 204200190 is about 588.8690294451.

Adding to 204200190 its reverse (91002402), we get a palindrome (295202592).

The spelling of 204200190 in words is "two hundred four million, two hundred thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 7290 9337 10935 18674 21870 28011 46685 56022 84033 93370 140055 168066 252099 280110 420165 504198 756297 840330 1260495 1512594 2268891 2520990 3781485 4537782 6806673 7562970 11344455 13613346 20420019 22688910 34033365 40840038 68066730 102100095 204200190