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204420132 = 22337594583
BaseRepresentation
bin11000010111100…
…11010000100100
3112020122121201000
430023303100210
5404312421012
632141233300
75031354030
oct1413632044
9466577630
10204420132
11a5431964
1258562830
1333474177
141d2131c0
1512e2dddc
hexc2f3424

204420132 has 96 divisors (see below), whose sum is σ = 616089600. Its totient is φ = 57403296.

The previous prime is 204420109. The next prime is 204420143. The reversal of 204420132 is 231024402.

204420132 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42313 + ... + 46895.

It is an arithmetic number, because the mean of its divisors is an integer number (6417600).

Almost surely, 2204420132 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 204420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308044800).

204420132 is an abundant number, since it is smaller than the sum of its proper divisors (411669468).

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

204420132 is a wasteful number, since it uses less digits than its factorization.

204420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4654 counting only the distinct ones).

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

The square root of 204420132 is about 14297.5568542321. The cubic root of 204420132 is about 589.0803752481.

Adding to 204420132 its reverse (231024402), we get a palindrome (435444534).

The spelling of 204420132 in words is "two hundred four million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 708 756 826 1062 1239 1593 1652 2124 2478 3186 3717 4583 4956 6372 7434 9166 11151 13749 14868 18332 22302 27498 32081 41247 44604 54996 64162 82494 96243 123741 128324 164988 192486 247482 270397 288729 384972 494964 540794 577458 811191 866187 1081588 1154916 1622382 1732374 1892779 2433573 3244764 3464748 3785558 4867146 5678337 7300719 7571116 9734292 11356674 14601438 17035011 22713348 29202876 34070022 51105033 68140044 102210066 204420132