Search a number
-
+
230327664 = 24373797191
BaseRepresentation
bin11011011101010…
…00010101110000
3121001101212011020
431232220111300
5432430441124
634504415440
75464516140
oct1556502560
9531355136
10230327664
11109017646
1265177580
1338945478
1422838920
151534a379
hexdba8570

230327664 has 160 divisors (see below), whose sum is σ = 709287936. Its totient is φ = 63037440.

The previous prime is 230327653. The next prime is 230327687. The reversal of 230327664 is 466723032.

230327664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1205809 + ... + 1205999.

Almost surely, 2230327664 is an apocalyptic number.

230327664 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 230327664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354643968).

230327664 is an abundant number, since it is smaller than the sum of its proper divisors (478960272).

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

230327664 is a wasteful number, since it uses less digits than its factorization.

230327664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 230327664 is about 15176.5498055388. The cubic root of 230327664 is about 612.9833820709.

The spelling of 230327664 in words is "two hundred thirty million, three hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 97 111 112 148 168 191 194 222 259 291 296 336 382 388 444 518 573 582 592 679 764 776 777 888 1036 1146 1164 1337 1358 1528 1552 1554 1776 2037 2072 2292 2328 2674 2716 3056 3108 3589 4011 4074 4144 4584 4656 5348 5432 6216 7067 7178 8022 8148 9168 10696 10767 10864 12432 14134 14356 16044 16296 18527 21201 21392 21534 25123 28268 28712 32088 32592 37054 42402 43068 49469 50246 55581 56536 57424 64176 74108 75369 84804 86136 98938 100492 111162 113072 129689 148216 148407 150738 169608 172272 197876 200984 222324 259378 296432 296814 301476 339216 389067 395752 401968 444648 518756 593628 602952 685499 778134 791504 889296 1037512 1187256 1205904 1370998 1556268 2056497 2075024 2374512 2741996 3112536 4112994 4798493 5483992 6225072 8225988 9596986 10967984 14395479 16451976 19193972 28790958 32903952 38387944 57581916 76775888 115163832 230327664