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264231 = 321117157
BaseRepresentation
bin1000000100000100111
3111102110100
41000200213
531423411
65355143
72150232
oct1004047
9442410
10264231
11170580
12108ab3
1393366
146c419
1553456
hex40827

264231 has 24 divisors (see below), whose sum is σ = 443664. Its totient is φ = 149760.

The previous prime is 264221. The next prime is 264263. The reversal of 264231 is 132462.

It is a happy number.

It is not a de Polignac number, because 264231 - 26 = 264167 is a prime.

It is a super-2 number, since 2×2642312 = 139636042722, which contains 22 as substring.

264231 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605 + ... + 1761.

It is an arithmetic number, because the mean of its divisors is an integer number (18486).

2264231 is an apocalyptic number.

264231 is a deficient number, since it is larger than the sum of its proper divisors (179433).

264231 is a wasteful number, since it uses less digits than its factorization.

264231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

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

The square root of 264231 is about 514.0340455651. The cubic root of 264231 is about 64.1693917622.

Adding to 264231 its reverse (132462), we get a palindrome (396693).

Subtracting from 264231 its reverse (132462), we obtain a square (131769 = 3632).

The spelling of 264231 in words is "two hundred sixty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 157 187 471 561 1413 1683 1727 2669 5181 8007 15543 24021 29359 88077 264231