Search a number
-
+
230264216 = 23713316297
BaseRepresentation
bin11011011100110…
…00110110011000
3121001021122010022
431232120312120
5432421423331
634503210012
75464133150
oct1556306630
9531248108
10230264216
11108a83a06
1265146908
1338922620
142281d760
151533667b
hexdb98d98

230264216 has 32 divisors (see below), whose sum is σ = 531380640. Its totient is φ = 91093248.

The previous prime is 230264213. The next prime is 230264227. The reversal of 230264216 is 612462032.

230264216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230264213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157421 + ... + 158876.

It is an arithmetic number, because the mean of its divisors is an integer number (16605645).

Almost surely, 2230264216 is an apocalyptic number.

230264216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

230264216 is an abundant number, since it is smaller than the sum of its proper divisors (301116424).

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

230264216 is a wasteful number, since it uses less digits than its factorization.

230264216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316323 (or 316319 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 230264216 is about 15174.4593313897. The cubic root of 230264216 is about 612.9270910451.

The spelling of 230264216 in words is "two hundred thirty million, two hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 316297 632594 1265188 2214079 2530376 4111861 4428158 8223722 8856316 16447444 17712632 28783027 32894888 57566054 115132108 230264216