Search a number
-
+
500228505 = 32572892549
BaseRepresentation
bin11101110100001…
…110000110011001
31021212021020111200
4131310032012121
52011024303010
6121345344413
715252605100
oct3564160631
91255236450
10500228505
11237403097
1211b638109
137c8350ca
144a615037
152ddb0cc0
hex1dd0e199

500228505 has 72 divisors (see below), whose sum is σ = 1020357000. Its totient is φ = 226017792.

The previous prime is 500228497. The next prime is 500228537. The reversal of 500228505 is 505822005.

It can be written as a sum of positive squares in 4 ways, for example, as 79281216 + 420947289 = 8904^2 + 20517^2 .

It is not a de Polignac number, because 500228505 - 23 = 500228497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194971 + ... + 197519.

It is an arithmetic number, because the mean of its divisors is an integer number (14171625).

Almost surely, 2500228505 is an apocalyptic number.

It is an amenable number.

500228505 is an abundant number, since it is smaller than the sum of its proper divisors (520128495).

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

500228505 is a wasteful number, since it uses less digits than its factorization.

500228505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 500228505 is about 22365.7887184870. The cubic root of 500228505 is about 793.8214172623.

The spelling of 500228505 in words is "five hundred million, two hundred twenty-eight thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 89 105 147 245 267 315 441 445 623 735 801 1335 1869 2205 2549 3115 4005 4361 5607 7647 9345 12745 13083 17843 21805 22941 28035 38235 39249 53529 65415 89215 114705 124901 160587 196245 226861 267645 374703 624505 680583 802935 1124109 1134305 1588027 1873515 2041749 3402915 4764081 5620545 7940135 10208745 11116189 14292243 23820405 33348567 55580945 71461215 100045701 166742835 500228505