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230560 = 25511131
BaseRepresentation
bin111000010010100000
3102201021021
4320102200
524334220
64535224
71650121
oct702240
9381237
10230560
11148250
12b1514
1380c35
1460048
15484aa
hex384a0

230560 has 48 divisors (see below), whose sum is σ = 598752. Its totient is φ = 83200.

The previous prime is 230551. The next prime is 230561. The reversal of 230560 is 65032.

230560 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 (16).

It is not an unprimeable number, because it can be changed into a prime (230561) by changing a digit.

230560 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 7 ways as a sum of consecutive naturals, for example, 1695 + ... + 1825.

It is an arithmetic number, because the mean of its divisors is an integer number (12474).

2230560 is an apocalyptic number.

230560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299376).

230560 is an abundant number, since it is smaller than the sum of its proper divisors (368192).

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

230560 is a wasteful number, since it uses less digits than its factorization.

230560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 230560 is about 480.1666377415. The cubic root of 230560 is about 61.3189422232.

Adding to 230560 its reverse (65032), we get a palindrome (295592).

The spelling of 230560 in words is "two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 131 160 176 220 262 352 440 524 655 880 1048 1310 1441 1760 2096 2620 2882 4192 5240 5764 7205 10480 11528 14410 20960 23056 28820 46112 57640 115280 230560