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230536460 = 225711231439
BaseRepresentation
bin11011011110110…
…11010100001100
3121001210110120102
431233123110030
5433004131320
634513110232
75466345650
oct1557332414
9531713512
10230536460
1110914a500
1265258378
13389b950b
1422890a60
151538c175
hexdbdb50c

230536460 has 144 divisors (see below), whose sum is σ = 629207040. Its totient is φ = 69379200.

The previous prime is 230536451. The next prime is 230536477. The reversal of 230536460 is 64635032.

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, 524921 + ... + 525359.

Almost surely, 2230536460 is an apocalyptic number.

230536460 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 230536460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314603520).

230536460 is an abundant number, since it is smaller than the sum of its proper divisors (398670580).

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

230536460 is a wasteful number, since it uses less digits than its factorization.

230536460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 230536460 is about 15183.4271493626. The cubic root of 230536460 is about 613.1685527981.

The spelling of 230536460 in words is "two hundred thirty million, five hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 121 124 140 154 155 217 220 242 308 310 341 385 434 439 484 605 620 682 770 847 868 878 1085 1210 1364 1540 1694 1705 1756 2170 2195 2387 2420 3073 3388 3410 3751 4235 4340 4390 4774 4829 6146 6820 7502 8470 8780 9548 9658 11935 12292 13609 15004 15365 16940 18755 19316 23870 24145 26257 27218 30730 33803 37510 47740 48290 52514 53119 54436 61460 67606 68045 75020 95263 96580 105028 106238 131285 135212 136090 149699 169015 190526 212476 262570 265595 272180 299398 338030 371833 381052 476315 525140 531190 598796 676060 743666 748495 952630 1047893 1062380 1487332 1496990 1646689 1859165 1905260 2095786 2993980 3293378 3718330 4191572 5239465 6586756 7436660 8233445 10478930 11526823 16466890 20957860 23053646 32933780 46107292 57634115 115268230 230536460