Search a number
-
+
480190230 = 2325131921601
BaseRepresentation
bin11100100111110…
…001111100010110
31020110120012011100
4130213301330112
51440412041410
6115352050530
714620356342
oct3447617426
91213505140
10480190230
11227067033
12114993a46
137863a440
1447aba622
152c2538c0
hex1c9f1f16

480190230 has 96 divisors (see below), whose sum is σ = 1415363040. Its totient is φ = 111974400.

The previous prime is 480190201. The next prime is 480190241. The reversal of 480190230 is 32091084.

It is a junction number, because it is equal to n+sod(n) for n = 480190194 and 480190203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11430 + ... + 33030.

It is an arithmetic number, because the mean of its divisors is an integer number (14743365).

Almost surely, 2480190230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480190230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707681520).

480190230 is an abundant number, since it is smaller than the sum of its proper divisors (935172810).

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

480190230 is a wasteful number, since it uses less digits than its factorization.

480190230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21646 (or 21643 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 480190230 is about 21913.2432560769. The cubic root of 480190230 is about 783.0769486382.

The spelling of 480190230 in words is "four hundred eighty million, one hundred ninety thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 21601 22230 43202 64803 108005 129606 194409 216010 280813 324015 388818 410419 561626 648030 820838 842439 972045 1231257 1404065 1684878 1944090 2052095 2462514 2527317 2808130 3693771 4104190 4212195 5054634 5335447 6156285 7387542 8424390 10670894 12312570 12636585 16006341 18468855 25273170 26677235 32012682 36937710 48019023 53354470 80031705 96038046 160063410 240095115 480190230