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233128 = 23723181
BaseRepresentation
bin111000111010101000
3102211210101
4320322220
524430003
64555144
71660450
oct707250
9384711
10233128
1114a175
12b2ab4
138215c
1460d60
154911d
hex38ea8

233128 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 95040.

The previous prime is 233117. The next prime is 233141. The reversal of 233128 is 821332.

It is a happy number.

233128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

233128 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, 1198 + ... + 1378.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2233128 is an apocalyptic number.

233128 is a gapful number since it is divisible by the number (28) 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 233128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

233128 is an abundant number, since it is smaller than the sum of its proper divisors (291032).

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

233128 is a wasteful number, since it uses less digits than its factorization.

233128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 233128 is about 482.8333045679. The cubic root of 233128 is about 61.5457609931.

It can be divided in two parts, 233 and 128, that added together give a square (361 = 192).

The spelling of 233128 in words is "two hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 181 184 322 362 644 724 1267 1288 1448 2534 4163 5068 8326 10136 16652 29141 33304 58282 116564 233128