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230144112 = 243311192549
BaseRepresentation
bin11011011011110…
…11100001110000
3121001001112101000
431231323201300
5432404102422
634500442000
75463123042
oct1555734160
9531045330
10230144112
11108a01750
12650a9300
13388aca63
14227cba92
1515310cac
hexdb7b870

230144112 has 160 divisors (see below), whose sum is σ = 758880000. Its totient is φ = 66044160.

The previous prime is 230144081. The next prime is 230144137. The reversal of 230144112 is 211441032.

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 31 ways as a sum of consecutive naturals, for example, 89014 + ... + 91562.

It is an arithmetic number, because the mean of its divisors is an integer number (4743000).

Almost surely, 2230144112 is an apocalyptic number.

230144112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440000).

230144112 is an abundant number, since it is smaller than the sum of its proper divisors (528735888).

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

230144112 is a wasteful number, since it uses less digits than its factorization.

230144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 230144112 is about 15170.5013760258. The cubic root of 230144112 is about 612.8205065320.

Adding to 230144112 its reverse (211441032), we get a palindrome (441585144).

The spelling of 230144112 in words is "two hundred thirty million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2549 2736 3344 3762 4104 4752 5016 5098 5643 7524 7647 8208 10032 10196 11286 15048 15294 20392 22572 22941 28039 30096 30588 40784 45144 45882 48431 56078 61176 68823 84117 90288 91764 96862 112156 122352 137646 145293 168234 183528 193724 224312 252351 275292 290586 336468 367056 387448 435879 448624 504702 532741 550584 581172 672936 757053 774896 871758 1009404 1065482 1101168 1162344 1307637 1345872 1514106 1598223 1743516 2018808 2130964 2324688 2615274 3028212 3196446 3487032 4037616 4261928 4794669 5230548 6056424 6392892 6974064 8523856 9589338 10461096 12112848 12785784 14384007 19178676 20922192 25571568 28768014 38357352 57536028 76714704 115072056 230144112