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230847192 = 233329137269
BaseRepresentation
bin11011100001001…
…11001011011000
3121002101020211000
431300213023120
5433044102232
634523505000
75502111612
oct1560471330
9532336730
10230847192
11109341a04
1265388160
1338a97a94
1422931db2
15153ee27c
hexdc272d8

230847192 has 128 divisors (see below), whose sum is σ = 670680000. Its totient is φ = 73479168.

The previous prime is 230847187. The next prime is 230847223. The reversal of 230847192 is 291748032.

230847192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858034 + ... + 858302.

Almost surely, 2230847192 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 230847192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335340000).

230847192 is an abundant number, since it is smaller than the sum of its proper divisors (439832808).

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

230847192 is a wasteful number, since it uses less digits than its factorization.

230847192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 230847192 is about 15193.6563078148. The cubic root of 230847192 is about 613.4439185709.

It can be divided in two parts, 23084 and 7192, that added together give a square (30276 = 1742).

The spelling of 230847192 in words is "two hundred thirty million, eight hundred forty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 137 174 216 232 261 269 274 348 411 522 538 548 696 783 807 822 1044 1076 1096 1233 1566 1614 1644 2088 2152 2421 2466 3132 3228 3288 3699 3973 4842 4932 6264 6456 7263 7398 7801 7946 9684 9864 11919 14526 14796 15602 15892 19368 23403 23838 29052 29592 31204 31784 35757 36853 46806 47676 58104 62408 70209 71514 73706 93612 95352 107271 110559 140418 143028 147412 187224 210627 214542 221118 280836 286056 294824 331677 421254 429084 442236 561672 663354 842508 858168 884472 995031 1068737 1326708 1685016 1990062 2137474 2653416 3206211 3980124 4274948 6412422 7960248 8549896 9618633 12824844 19237266 25649688 28855899 38474532 57711798 76949064 115423596 230847192