Search a number
-
+
272228460 = 223572328181
BaseRepresentation
bin10000001110011…
…110000001101100
3200222020122020120
4100032132001230
51024142302320
643002444540
76513621660
oct2016360154
9628218216
10272228460
1112a7362a9
1277203750
134452623a
14282248a0
1518d75440
hex1039e06c

272228460 has 96 divisors (see below), whose sum is σ = 909038592. Its totient is φ = 59516160.

The previous prime is 272228459. The next prime is 272228491. The reversal of 272228460 is 64822272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4431 + ... + 23750.

It is an arithmetic number, because the mean of its divisors is an integer number (9469152).

Almost surely, 2272228460 is an apocalyptic number.

272228460 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 272228460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454519296).

272228460 is an abundant number, since it is smaller than the sum of its proper divisors (636810132).

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

272228460 is a wasteful number, since it uses less digits than its factorization.

272228460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28223 (or 28221 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 272228460 is about 16499.3472598161. The cubic root of 272228460 is about 648.1037118714.

The spelling of 272228460 in words is "two hundred seventy-two million, two hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 28181 56362 84543 112724 140905 169086 197267 281810 338172 394534 422715 563620 591801 648163 789068 845430 986335 1183602 1296326 1690860 1944489 1972670 2367204 2592652 2959005 3240815 3888978 3945340 4537141 5918010 6481630 7777956 9074282 9722445 11836020 12963260 13611423 18148564 19444890 22685705 27222846 38889780 45371410 54445692 68057115 90742820 136114230 272228460