Search a number
-
+
230272 = 277257
BaseRepresentation
bin111000001110000000
3102200212121
4320032000
524332042
64534024
71646230
oct701600
9380777
10230272
11148009
12b1314
1380a73
145dcc0
1548367
hex38380

230272 has 32 divisors (see below), whose sum is σ = 526320. Its totient is φ = 98304.

The previous prime is 230257. The next prime is 230273. The reversal of 230272 is 272032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230273) by changing a digit.

230272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 768 + ... + 1024.

2230272 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 230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263160).

230272 is an abundant number, since it is smaller than the sum of its proper divisors (296048).

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

230272 is an equidigital number, since it uses as much as digits as its factorization.

230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 230272 is about 479.8666481430. The cubic root of 230272 is about 61.2933997561.

The spelling of 230272 in words is "two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 257 448 514 896 1028 1799 2056 3598 4112 7196 8224 14392 16448 28784 32896 57568 115136 230272