Search a number
-
+
473225460 = 223523893853
BaseRepresentation
bin11100001101001…
…101100011110100
31012222110100021220
4130031031203310
51432121203320
6114542510340
714504231031
oct3415154364
91188410256
10473225460
1122313a324
121125953b0
137706c286
1446bc6388
152b829e40
hex1c34d8f4

473225460 has 96 divisors (see below), whose sum is σ = 1398539520. Its totient is φ = 119319552.

The previous prime is 473225443. The next prime is 473225477. The reversal of 473225460 is 64522374.

It is an interprime number because it is at equal distance from previous prime (473225443) and next prime (473225477).

It is a congruent number.

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, 120894 + ... + 124746.

It is an arithmetic number, because the mean of its divisors is an integer number (14568120).

Almost surely, 2473225460 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 473225460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699269760).

473225460 is an abundant number, since it is smaller than the sum of its proper divisors (925314060).

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

473225460 is a wasteful number, since it uses less digits than its factorization.

473225460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 473225460 is about 21753.7458843299. The cubic root of 473225460 is about 779.2725301490.

The spelling of 473225460 in words is "four hundred seventy-three million, two hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 178 230 267 276 345 356 445 460 534 690 890 1068 1335 1380 1780 2047 2670 3853 4094 5340 6141 7706 8188 10235 11559 12282 15412 19265 20470 23118 24564 30705 38530 40940 46236 57795 61410 77060 88619 115590 122820 177238 231180 265857 342917 354476 443095 531714 685834 886190 1028751 1063428 1329285 1371668 1714585 1772380 2057502 2658570 3429170 4115004 5143755 5317140 6858340 7887091 10287510 15774182 20575020 23661273 31548364 39435455 47322546 78870910 94645092 118306365 157741820 236612730 473225460