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204431010 = 23577113711
BaseRepresentation
bin11000010111101…
…01111010100010
3112020200011121220
430023311322202
5404313243020
632141355510
75031430530
oct1413657242
9466604556
10204431010
11a543a053
1258568b96
13334790c4
141d217150
1512e32240
hexc2f5ea2

204431010 has 64 divisors (see below), whose sum is σ = 568664064. Its totient is φ = 46065600.

The previous prime is 204431009. The next prime is 204431021. The reversal of 204431010 is 10134402.

204431010 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 (15).

It is a Curzon 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, 8055 + ... + 21765.

It is an arithmetic number, because the mean of its divisors is an integer number (8885376).

Almost surely, 2204431010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204431010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284332032).

204431010 is an abundant number, since it is smaller than the sum of its proper divisors (364233054).

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

204431010 is a wasteful number, since it uses less digits than its factorization.

204431010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13799.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204431010 is about 14297.9372638154. The cubic root of 204431010 is about 589.0908241581.

Adding to 204431010 its reverse (10134402), we get a palindrome (214565412).

The spelling of 204431010 in words is "two hundred four million, four hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 13711 14910 27422 41133 68555 82266 95977 137110 191954 205665 287931 411330 479885 575862 959770 973481 1439655 1946962 2879310 2920443 4867405 5840886 6814367 9734810 13628734 14602215 20443101 29204430 34071835 40886202 68143670 102215505 204431010