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204401232 = 2434722531
BaseRepresentation
bin11000010111011…
…10101001010000
3112020121122210000
430023232221100
5404311314412
632141010000
75031244650
oct1413565120
9466548700
10204401232
11a5419742
1258553900
1333468699
141d20a360
1512e284dc
hexc2eea50

204401232 has 100 divisors (see below), whose sum is σ = 676140256. Its totient is φ = 58397760.

The previous prime is 204401173. The next prime is 204401237. The reversal of 204401232 is 232104402.

204401232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204401237) 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 19 ways as a sum of consecutive naturals, for example, 2194 + ... + 20337.

Almost surely, 2204401232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338070128).

204401232 is an abundant number, since it is smaller than the sum of its proper divisors (471739024).

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

204401232 is a wasteful number, since it uses less digits than its factorization.

204401232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22558 (or 22543 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204401232 is about 14296.8958868700. The cubic root of 204401232 is about 589.0622198898.

Adding to 204401232 its reverse (232104402), we get a palindrome (436505634).

The spelling of 204401232 in words is "two hundred four million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 22531 45062 67593 90124 135186 157717 180248 202779 270372 315434 360496 405558 473151 540744 608337 630868 811116 946302 1081488 1216674 1261736 1419453 1622232 1825011 1892604 2433348 2523472 2838906 3244464 3650022 3785208 4258359 4866696 5677812 7300044 7570416 8516718 9733392 11355624 12775077 14600088 17033436 22711248 25550154 29200176 34066872 51100308 68133744 102200616 204401232