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252231 = 3712011
BaseRepresentation
bin111101100101000111
3110210222220
4331211013
531032411
65223423
72100240
oct754507
9423886
10252231
11162561
12101b73
138aa65
1467cc7
154eb06
hex3d947

252231 has 8 divisors (see below), whose sum is σ = 384384. Its totient is φ = 144120.

The previous prime is 252223. The next prime is 252233. The reversal of 252231 is 132252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252231 - 23 = 252223 is a prime.

It is a super-2 number, since 2×2522312 = 127240954722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

252231 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 252231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252233) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5985 + ... + 6026.

It is an arithmetic number, because the mean of its divisors is an integer number (48048).

2252231 is an apocalyptic number.

252231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252231 is a deficient number, since it is larger than the sum of its proper divisors (132153).

252231 is a wasteful number, since it uses less digits than its factorization.

252231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021.

The product of its digits is 120, while the sum is 15.

The square root of 252231 is about 502.2260447249. The cubic root of 252231 is about 63.1828900700.

Adding to 252231 its reverse (132252), we get a palindrome (384483).

The spelling of 252231 in words is "two hundred fifty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 12011 36033 84077 252231