Search a number
-
+
230135832 = 233212772503
BaseRepresentation
bin11011011011110…
…01100000011000
3121001001010000100
431231321200120
5432403321312
634500335400
75463056643
oct1555714030
9531033010
10230135832
111089a6503
12650a4560
13388a9064
14227c8a5a
151530d5dc
hexdb79818

230135832 has 48 divisors (see below), whose sum is σ = 624021840. Its totient is φ = 76621248.

The previous prime is 230135803. The next prime is 230135833. The reversal of 230135832 is 238531032.

230135832 is a `hidden beast` number, since 2 + 301 + 358 + 3 + 2 = 666.

230135832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230135796 and 230135805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230135833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90693 + ... + 93195.

It is an arithmetic number, because the mean of its divisors is an integer number (13000455).

Almost surely, 2230135832 is an apocalyptic number.

It is an amenable number.

230135832 is an abundant number, since it is smaller than the sum of its proper divisors (393886008).

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

230135832 is a wasteful number, since it uses less digits than its factorization.

230135832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230135832 is about 15170.2284755372. The cubic root of 230135832 is about 612.8131572026.

Adding to 230135832 its reverse (238531032), we get a palindrome (468666864).

The spelling of 230135832 in words is "two hundred thirty million, one hundred thirty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1277 2503 2554 3831 5006 5108 7509 7662 10012 10216 11493 15018 15324 20024 22527 22986 30036 30648 45054 45972 60072 90108 91944 180216 3196331 6392662 9588993 12785324 19177986 25570648 28766979 38355972 57533958 76711944 115067916 230135832