Search a number
-
+
232313256 = 233273114869
BaseRepresentation
bin11011101100011…
…01000110101000
3121012010201212200
431312031012220
5433433011011
635015140200
75520426060
oct1566150650
9535121780
10232313256
1110a15342a
1265974660
133918c186
1422bd43a0
15155dd856
hexdd8d1a8

232313256 has 96 divisors (see below), whose sum is σ = 742310400. Its totient is φ = 64229760.

The previous prime is 232313251. The next prime is 232313261. The reversal of 232313256 is 652313232.

232313256 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232313251) and next prime (232313261).

It is not an unprimeable number, because it can be changed into a prime (232313251) 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, 8190 + ... + 23058.

It is an arithmetic number, because the mean of its divisors is an integer number (7732400).

Almost surely, 2232313256 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 232313256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371155200).

232313256 is an abundant number, since it is smaller than the sum of its proper divisors (509997144).

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

232313256 is a wasteful number, since it uses less digits than its factorization.

232313256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14919 (or 14912 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 232313256 is about 15241.8258748747. The cubic root of 232313256 is about 614.7397987110.

Adding to 232313256 its reverse (652313232), we get a palindrome (884626488).

The spelling of 232313256 in words is "two hundred thirty-two million, three hundred thirteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 14869 15624 29738 44607 59476 89214 104083 118952 133821 178428 208166 267642 312249 356856 416332 460939 535284 624498 832664 921878 936747 1070568 1248996 1382817 1843756 1873494 2497992 2765634 3226573 3687512 3746988 4148451 5531268 6453146 7493976 8296902 9679719 11062536 12906292 16593804 19359438 25812584 29039157 33187608 38718876 58078314 77437752 116156628 232313256