Search a number
-
+
204166172 = 227193591069
BaseRepresentation
bin11000010101101…
…01010000011100
3112020011201100002
430022311100130
5404231304142
632131553432
75026245440
oct1412652034
9466151302
10204166172
11a5279081
125845b878
13333b56b2
141d188820
1512dcda32
hexc2b541c

204166172 has 48 divisors (see below), whose sum is σ = 431424000. Its totient is φ = 82586304.

The previous prime is 204166159. The next prime is 204166199. The reversal of 204166172 is 271661402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190454 + ... + 191522.

It is an arithmetic number, because the mean of its divisors is an integer number (8988000).

Almost surely, 2204166172 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 204166172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215712000).

204166172 is an abundant number, since it is smaller than the sum of its proper divisors (227257828).

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

204166172 is a wasteful number, since it uses less digits than its factorization.

204166172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 204166172 is about 14288.6728564972. The cubic root of 204166172 is about 588.8363274528.

The spelling of 204166172 in words is "two hundred four million, one hundred sixty-six thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 359 532 718 1069 1436 2138 2513 4276 5026 6821 7483 10052 13642 14966 20311 27284 29932 40622 47747 81244 95494 142177 190988 284354 383771 568708 767542 1535084 2686397 5372794 7291649 10745588 14583298 29166596 51041543 102083086 204166172