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230888064 = 27311471163
BaseRepresentation
bin11011100001100…
…01001010000000
3121002110022212210
431300301022000
5433101404224
634524422120
75502342021
oct1560611200
9532408783
10230888064
1110936a690
12653a7940
1338ab0574
1422942c48
151540b429
hexdc31280

230888064 has 128 divisors (see below), whose sum is σ = 683873280. Its totient is φ = 68418560.

The previous prime is 230888039. The next prime is 230888071. The reversal of 230888064 is 460888032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197947 + ... + 199109.

It is an arithmetic number, because the mean of its divisors is an integer number (5342760).

Almost surely, 2230888064 is an apocalyptic number.

230888064 is a gapful number since it is divisible by the number (24) 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 230888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341936640).

230888064 is an abundant number, since it is smaller than the sum of its proper divisors (452985216).

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

230888064 is a wasteful number, since it uses less digits than its factorization.

230888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 230888064 is about 15195.0012833168. The cubic root of 230888064 is about 613.4801202967.

Subtracting from 230888064 its sum of digits (39), we obtain a square (230888025 = 151952).

The spelling of 230888064 in words is "two hundred thirty million, eight hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 264 282 352 376 384 517 528 564 704 752 1034 1056 1128 1163 1408 1504 1551 2068 2112 2256 2326 3008 3102 3489 4136 4224 4512 4652 6016 6204 6978 8272 9024 9304 12408 12793 13956 16544 18048 18608 24816 25586 27912 33088 37216 38379 49632 51172 54661 55824 66176 74432 76758 99264 102344 109322 111648 148864 153516 163983 198528 204688 218644 223296 307032 327966 409376 437288 446592 601271 614064 655932 818752 874576 1202542 1228128 1311864 1637504 1749152 1803813 2405084 2456256 2623728 3498304 3607626 4810168 4912512 5247456 6996608 7215252 9620336 10494912 14430504 19240672 20989824 28861008 38481344 57722016 76962688 115444032 230888064