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230234004 = 2232711136389
BaseRepresentation
bin11011011100100…
…01011110010100
3121001020002200100
431232101132110
5432414442004
634502414100
75463646110
oct1556213624
9531202610
10230234004
11108a63240
1265131330
1338911950
1422812740
151532c739
hexdb91794

230234004 has 144 divisors (see below), whose sum is σ = 781522560. Its totient is φ = 55192320.

The previous prime is 230233999. The next prime is 230234021. The reversal of 230234004 is 400432032.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32842 + ... + 39230.

It is an arithmetic number, because the mean of its divisors is an integer number (5427240).

Almost surely, 2230234004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230234004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390761280).

230234004 is an abundant number, since it is smaller than the sum of its proper divisors (551288556).

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

230234004 is a wasteful number, since it uses less digits than its factorization.

230234004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6425 counting only the distinct ones).

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

The square root of 230234004 is about 15173.4638102182. The cubic root of 230234004 is about 612.9002833435.

Adding to 230234004 its reverse (400432032), we get a palindrome (630666036).

The spelling of 230234004 in words is "two hundred thirty million, two hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 6389 9009 12012 12778 18018 19167 25556 36036 38334 44723 57501 70279 76668 83057 89446 115002 134169 140558 166114 178892 210837 230004 249171 268338 281116 332228 402507 421674 491953 498342 536676 581399 632511 747513 805014 843348 913627 983906 996684 1162798 1265022 1475859 1495026 1610028 1744197 1827254 1967812 2325596 2530044 2740881 2951718 2990052 3488394 3654508 4427577 5232591 5481762 5903436 6395389 6976788 8222643 8855154 10465182 10963524 12790778 16445286 17710308 19186167 20930364 25581556 32890572 38372334 57558501 76744668 115117002 230234004