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233728 = 281183
BaseRepresentation
bin111001000100000000
3102212121121
4321010000
524434403
65002024
71662265
oct710400
9385547
10233728
1114a670
12b3314
1382501
146126c
15493bd
hex39100

233728 has 36 divisors (see below), whose sum is σ = 515088. Its totient is φ = 104960.

The previous prime is 233713. The next prime is 233743. The reversal of 233728 is 827332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (233713) and next prime (233743).

Its product of digits (2016) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2775 + ... + 2857.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2233728 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 233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257544).

233728 is an abundant number, since it is smaller than the sum of its proper divisors (281360).

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

233728 is an equidigital number, since it uses as much as digits as its factorization.

233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 233728 is about 483.4542377516. The cubic root of 233728 is about 61.5985157342.

It can be divided in two parts, 233 and 728, that added together give a square (961 = 312).

The spelling of 233728 in words is "two hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 256 332 352 664 704 913 1328 1408 1826 2656 2816 3652 5312 7304 10624 14608 21248 29216 58432 116864 233728