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235264 = 28919
BaseRepresentation
bin111001011100000000
3102221201111
4321130000
530012024
65013104
71666621
oct713400
9387644
10235264
11150837
12b4194
1383113
1461a48
1549a94
hex39700

235264 has 18 divisors (see below), whose sum is σ = 470120. Its totient is φ = 117504.

The previous prime is 235243. The next prime is 235273. The reversal of 235264 is 462532.

It is a happy number.

235264 is nontrivially palindromic in base 15.

It is a d-powerful number, because it can be written as 27 + 311 + 213 + 55 + 66 + 42 .

It is a congruent number.

It is an unprimeable number.

235264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204 + ... + 715.

235264 is a Friedman number, since it can be written as 2*(5+2)^6-34, using all its digits and the basic arithmetic operations.

2235264 is an apocalyptic number.

It is an amenable number.

235264 is a deficient number, since it is larger than the sum of its proper divisors (234856).

235264 is an frugal number, since it uses more digits than its factorization.

235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 235264 is about 485.0402045192. The cubic root of 235264 is about 61.7331577270.

Adding to 235264 its reverse (462532), we get a palindrome (697796).

The spelling of 235264 in words is "two hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 919 1838 3676 7352 14704 29408 58816 117632 235264