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232240230 = 233517192663
BaseRepresentation
bin11011101011110…
…11010001100110
3121012000000201000
431311323101212
5433423141410
635013414130
75520003135
oct1565732146
9535000630
10232240230
1110a103582
126593a346
1339164b71
1422bb591c
15155c6dc0
hexdd7b466

232240230 has 128 divisors (see below), whose sum is σ = 690508800. Its totient is φ = 55199232.

The previous prime is 232240193. The next prime is 232240241. The reversal of 232240230 is 32042232.

232240230 is a `hidden beast` number, since 232 + 2 + 402 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 85879 + ... + 88541.

It is an arithmetic number, because the mean of its divisors is an integer number (5394600).

Almost surely, 2232240230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232240230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345254400).

232240230 is an abundant number, since it is smaller than the sum of its proper divisors (458268570).

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

232240230 is a wasteful number, since it uses less digits than its factorization.

232240230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232240230 is about 15239.4301074548. The cubic root of 232240230 is about 614.6753789502.

Adding to 232240230 its reverse (32042232), we get a palindrome (264282462).

The spelling of 232240230 in words is "two hundred thirty-two million, two hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 646 765 855 918 969 1026 1530 1615 1710 1938 2295 2565 2663 2907 3230 4590 4845 5130 5326 5814 7989 8721 9690 13315 14535 15978 17442 23967 26630 29070 39945 43605 45271 47934 50597 71901 79890 87210 90542 101194 119835 135813 143802 151791 226355 239670 252985 271626 303582 359505 407439 452710 455373 505970 679065 719010 758955 814878 860149 910746 1222317 1358130 1366119 1517910 1720298 2037195 2276865 2444634 2580447 2732238 4074390 4300745 4553730 5160894 6111585 6830595 7741341 8601490 12223170 12902235 13661190 15482682 23224023 25804470 38706705 46448046 77413410 116120115 232240230