Search a number
-
+
230662530 = 232571093359
BaseRepresentation
bin11011011111110…
…10000110000010
3121002000212111200
431233322012002
5433022200110
634515522030
75500412340
oct1557720602
9532025450
10230662530
1110922619a
12652b9316
1338a31a07
14228c4990
15153b46c0
hexdbfa182

230662530 has 96 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 52223616.

The previous prime is 230662529. The next prime is 230662543. The reversal of 230662530 is 35266032.

230662530 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 625 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230662494 and 230662503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66991 + ... + 70349.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2230662530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230662530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

230662530 is an abundant number, since it is smaller than the sum of its proper divisors (461228670).

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

230662530 is a wasteful number, since it uses less digits than its factorization.

230662530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 230662530 is about 15187.5781479471. The cubic root of 230662530 is about 613.2803038456.

The spelling of 230662530 in words is "two hundred thirty million, six hundred sixty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 545 630 654 763 981 1090 1526 1635 1962 2289 3270 3359 3815 4578 4905 6718 6867 7630 9810 10077 11445 13734 16795 20154 22890 23513 30231 33590 34335 47026 50385 60462 68670 70539 100770 117565 141078 151155 211617 235130 302310 352695 366131 423234 705390 732262 1058085 1098393 1830655 2116170 2196786 2562917 3295179 3661310 5125834 5491965 6590358 7688751 10983930 12814585 15377502 16475895 23066253 25629170 32951790 38443755 46132506 76887510 115331265 230662530