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204163472 = 2417267659
BaseRepresentation
bin11000010101101…
…00100110010000
3112020011120122002
430022310212100
5404231212342
632131533132
75026234532
oct1412644620
9466146562
10204163472
11a5277047
125845a1a8
13333b43b6
141d187852
1512dccd32
hexc2b4990

204163472 has 60 divisors (see below), whose sum is σ = 427122960. Its totient is φ = 94499328.

The previous prime is 204163471. The next prime is 204163499. The reversal of 204163472 is 274361402.

204163472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204163471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309479 + ... + 310137.

It is an arithmetic number, because the mean of its divisors is an integer number (7118716).

Almost surely, 2204163472 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 204163472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213561480).

204163472 is an abundant number, since it is smaller than the sum of its proper divisors (222959488).

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

204163472 is a wasteful number, since it uses less digits than its factorization.

204163472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 204163472 is about 14288.5783757517. The cubic root of 204163472 is about 588.8337317484.

The spelling of 204163472 in words is "two hundred four million, one hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 289 536 578 659 1072 1139 1156 1318 2278 2312 2636 4556 4624 5272 9112 10544 11203 18224 19363 22406 38726 44153 44812 77452 88306 89624 154904 176612 179248 190451 309808 353224 380902 706448 750601 761804 1501202 1523608 3002404 3047216 6004808 12009616 12760217 25520434 51040868 102081736 204163472