Search a number
-
+
204508224 = 2632355049
BaseRepresentation
bin11000011000010…
…00110001000000
3112020211002112200
430030020301000
5404323230344
632143153200
75032201614
oct1414106100
9466732480
10204508224
11a5492068
12585a5800
13334a52ab
141d237344
1512e4a069
hexc308c40

204508224 has 42 divisors (see below), whose sum is σ = 586187550. Its totient is φ = 68169216.

The previous prime is 204508223. The next prime is 204508243. The reversal of 204508224 is 422805402.

It is a happy number.

204508224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 589824 = 14280^2 + 768^2 .

It is a super-2 number, since 2×2045082242 = 83647227367268352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204508223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176949 + ... + 178100.

Almost surely, 2204508224 is an apocalyptic number.

204508224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204508224 is an abundant number, since it is smaller than the sum of its proper divisors (381679326).

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

204508224 is a wasteful number, since it uses less digits than its factorization.

204508224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355067 (or 355054 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 204508224 is about 14300.6371886011. The cubic root of 204508224 is about 589.1649817486.

The spelling of 204508224 in words is "two hundred four million, five hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 355049 710098 1065147 1420196 2130294 2840392 3195441 4260588 5680784 6390882 8521176 11361568 12781764 17042352 22723136 25563528 34084704 51127056 68169408 102254112 204508224