Search a number
-
+
230641216 = 2613277213
BaseRepresentation
bin11011011111101…
…00111001000000
3121001222210021021
431233310321000
5433021004331
634515235224
75500263241
oct1557647100
9531883237
10230641216
11109211183
12652a8b14
1338a250c0
14228bacc8
15153ad211
hexdbf4e40

230641216 has 28 divisors (see below), whose sum is σ = 492886492. Its totient is φ = 106449408.

The previous prime is 230641189. The next prime is 230641219. The reversal of 230641216 is 612146032.

It can be written as a sum of positive squares in 2 ways, for example, as 97930816 + 132710400 = 9896^2 + 11520^2 .

It is not an unprimeable number, because it can be changed into a prime (230641219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137775 + ... + 139438.

It is an arithmetic number, because the mean of its divisors is an integer number (17603089).

Almost surely, 2230641216 is an apocalyptic number.

230641216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

230641216 is an abundant number, since it is smaller than the sum of its proper divisors (262245276).

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

230641216 is a wasteful number, since it uses less digits than its factorization.

230641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277238 (or 277228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 230641216 is about 15186.8764398740. The cubic root of 230641216 is about 613.2614135372.

Adding to 230641216 its reverse (612146032), we get a palindrome (842787248).

The spelling of 230641216 in words is "two hundred thirty million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 277213 554426 1108852 2217704 3603769 4435408 7207538 8870816 14415076 17741632 28830152 57660304 115320608 230641216