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232313014230 = 235114744333811
BaseRepresentation
bin1101100001011011101…
…1110100011111010110
3211012122021220212220020
43120112323310133112
512301234112423410
6254420110050010
722532635016403
oct3302673643726
9735567825806
10232313014230
118a583705040
12390351a9906
1318ba3964c3b
14b35b7c52aa
15609a190a70
hex3616ef47d6

232313014230 has 128 divisors (see below), whose sum is σ = 622599561216. Its totient is φ = 54993993600.

The previous prime is 232313014217. The next prime is 232313014237. The reversal of 232313014230 is 32410313232.

It is a super-3 number, since 3×2323130142303 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232313014230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232313014237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6854025 + ... + 6887835.

It is an arithmetic number, because the mean of its divisors is an integer number (4864059072).

Almost surely, 2232313014230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232313014230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311299780608).

232313014230 is an abundant number, since it is smaller than the sum of its proper divisors (390286546986).

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

232313014230 is a wasteful number, since it uses less digits than its factorization.

232313014230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34322.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 232313014230 its reverse (32410313232), we get a palindrome (264723327462).

The spelling of 232313014230 in words is "two hundred thirty-two billion, three hundred thirteen million, fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 443 470 517 705 886 1034 1329 1410 1551 2215 2585 2658 3102 4430 4873 5170 6645 7755 9746 13290 14619 15510 20821 24365 29238 33811 41642 48730 62463 67622 73095 101433 104105 124926 146190 169055 202866 208210 229031 312315 338110 371921 458062 507165 624630 687093 743842 1014330 1115763 1145155 1374186 1589117 1859605 2231526 2290310 3178234 3435465 3719210 4767351 5578815 6870930 7945585 9534702 11157630 14978273 15891170 17480287 23836755 29956546 34960574 44934819 47673510 52440861 74891365 87401435 89869638 104881722 149782730 164761003 174802870 224674095 262204305 329522006 449348190 494283009 524408610 703978831 823805015 988566018 1407957662 1647610030 2111936493 2471415045 3519894155 4223872986 4942830090 7039788310 7743767141 10559682465 15487534282 21119364930 23231301423 38718835705 46462602846 77437671410 116156507115 232313014230