Search a number
-
+
272282220 = 223257230871
BaseRepresentation
bin10000001110101…
…011001001101100
3200222100100222200
4100032223021230
51024201012340
643003541500
76514234500
oct2016531154
9628310880
10272282220
1112a772731
127722a890
1344544852
142823a300
1518d86330
hex103ab26c

272282220 has 108 divisors (see below), whose sum is σ = 960798384. Its totient is φ = 62233920.

The previous prime is 272282203. The next prime is 272282221. The reversal of 272282220 is 22282272.

It is not an unprimeable number, because it can be changed into a prime (272282221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6616 + ... + 24255.

Almost surely, 2272282220 is an apocalyptic number.

272282220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272282220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480399192).

272282220 is an abundant number, since it is smaller than the sum of its proper divisors (688516164).

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

272282220 is a wasteful number, since it uses less digits than its factorization.

272282220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30900 (or 30888 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 272282220 is about 16500.9763347506. The cubic root of 272282220 is about 648.1463718272.

The spelling of 272282220 in words is "two hundred seventy-two million, two hundred eighty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 30871 61742 92613 123484 154355 185226 216097 277839 308710 370452 432194 463065 555678 617420 648291 864388 926130 1080485 1111356 1296582 1389195 1512679 1852260 1944873 2160970 2593164 2778390 3025358 3241455 3889746 4321940 4538037 5556780 6050716 6482910 7563395 7779492 9076074 9724365 12965820 13614111 15126790 18152148 19448730 22690185 27228222 30253580 38897460 45380370 54456444 68070555 90760740 136141110 272282220