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233262 = 23212959
BaseRepresentation
bin111000111100101110
3102211222100
4320330232
524431022
64555530
71661031
oct707456
9384870
10233262
1114a287
12b2ba6
1382233
1461018
15491ac
hex38f2e

233262 has 12 divisors (see below), whose sum is σ = 505440. Its totient is φ = 77748.

The previous prime is 233251. The next prime is 233267. The reversal of 233262 is 262332.

It is a super-2 number, since 2×2332622 = 108822321288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12959 = 233262 / (2 + 3 + 3 + 2 + 6 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 210 + 35 + 212 + 311 + 66 + 212 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233267) by changing a digit.

233262 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6462 + ... + 6497.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2233262 is an apocalyptic number.

233262 is an abundant number, since it is smaller than the sum of its proper divisors (272178).

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

233262 is a wasteful number, since it uses less digits than its factorization.

233262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12964 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 233262 is about 482.9720488807. The cubic root of 233262 is about 61.5575507286.

Adding to 233262 its reverse (262332), we get a palindrome (495594).

The spelling of 233262 in words is "two hundred thirty-three thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 18 12959 25918 38877 77754 116631 233262