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233280 = 26365
BaseRepresentation
bin111000111101000000
3102212000000
4320331000
524431110
65000000
71661055
oct707500
9385000
10233280
1114a2a3
12b3000
1382248
146102c
15491c0
hex38f40

233280 has 98 divisors (see below), whose sum is σ = 832866. Its totient is φ = 62208.

The previous prime is 233279. The next prime is 233293. The reversal of 233280 is 82332.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 46656 = 432^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46654 + ... + 46658.

233280 is a Friedman number, since it can be written as 320*3^(8-2), using all its digits and the basic arithmetic operations.

2233280 is an apocalyptic number.

233280 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 233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416433).

233280 is an abundant number, since it is smaller than the sum of its proper divisors (599586).

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

233280 is an frugal number, since it uses more digits than its factorization.

233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233280 is about 482.9906831400. The cubic root of 233280 is about 61.5591340804.

The spelling of 233280 in words is "two hundred thirty-three thousand, two hundred eighty".