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230013210 = 235729179211
BaseRepresentation
bin11011011010110…
…11100100011010
3121000210212210210
431231123210122
5432340410320
634453551550
75462036310
oct1555334432
9530725723
10230013210
11108922369
12650455b6
13388652bb
14227960b0
15152d70e0
hexdb5b91a

230013210 has 128 divisors (see below), whose sum is σ = 659404800. Its totient is φ = 50238720.

The previous prime is 230013209. The next prime is 230013241. The reversal of 230013210 is 12310032.

It is a happy number.

230013210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090005 + ... + 1090215.

It is an arithmetic number, because the mean of its divisors is an integer number (5151600).

Almost surely, 2230013210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329702400).

230013210 is an abundant number, since it is smaller than the sum of its proper divisors (429391590).

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

230013210 is a wasteful number, since it uses less digits than its factorization.

230013210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230013210 is about 15166.1864026524. The cubic root of 230013210 is about 612.7042972531.

Adding to 230013210 its reverse (12310032), we get a palindrome (242323242).

The spelling of 230013210 in words is "two hundred thirty million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 179 203 210 211 290 358 406 422 435 537 609 633 870 895 1015 1055 1074 1218 1253 1266 1477 1790 2030 2110 2506 2685 2954 3045 3165 3759 4431 5191 5370 6090 6119 6265 6330 7385 7518 8862 10382 12238 12530 14770 15573 18357 18795 22155 25955 30595 31146 36337 36714 37590 37769 42833 44310 51910 61190 72674 75538 77865 85666 91785 109011 113307 128499 155730 181685 183570 188845 214165 218022 226614 256998 264383 363370 377690 428330 528766 545055 566535 642495 793149 1090110 1095301 1133070 1284990 1321915 1586298 2190602 2643830 3285903 3965745 5476505 6571806 7667107 7931490 10953010 15334214 16429515 23001321 32859030 38335535 46002642 76671070 115006605 230013210