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230916192 = 25313243331
BaseRepresentation
bin11011100001110…
…00000001100000
3121002111202110120
431300320001200
5433103304232
634525200240
75502520023
oct1560700140
9532452416
10230916192
11109389831
1265400080
1338ac0300
142294d1ba
151541492c
hexdc38060

230916192 has 144 divisors (see below), whose sum is σ = 673662528. Its totient is φ = 69189120.

The previous prime is 230916143. The next prime is 230916193. The reversal of 230916192 is 291619032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230916193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697467 + ... + 697797.

It is an arithmetic number, because the mean of its divisors is an integer number (4678212).

Almost surely, 2230916192 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 230916192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336831264).

230916192 is an abundant number, since it is smaller than the sum of its proper divisors (442746336).

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

230916192 is a wasteful number, since it uses less digits than its factorization.

230916192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 230916192 is about 15195.9268226719. The cubic root of 230916192 is about 613.5050317449.

The spelling of 230916192 in words is "two hundred thirty million, nine hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 169 172 208 258 312 331 338 344 416 507 516 559 624 662 676 688 993 1014 1032 1118 1248 1324 1352 1376 1677 1986 2028 2064 2236 2648 2704 3354 3972 4056 4128 4303 4472 5296 5408 6708 7267 7944 8112 8606 8944 10592 12909 13416 14233 14534 15888 16224 17212 17888 21801 25818 26832 28466 29068 31776 34424 42699 43602 51636 53664 55939 56932 58136 68848 85398 87204 103272 111878 113864 116272 137696 167817 170796 174408 185029 206544 223756 227728 232544 335634 341592 348816 370058 413088 447512 455456 555087 671268 683184 697632 740116 895024 1110174 1342536 1366368 1480232 1790048 2220348 2405377 2685072 2960464 4440696 4810754 5370144 5920928 7216131 8881392 9621508 14432262 17762784 19243016 28864524 38486032 57729048 76972064 115458096 230916192