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312214231 = 7217374807
BaseRepresentation
bin10010100111000…
…000001011010111
3210202111010102001
4102213000023113
51114411323411
650551500131
710510530400
oct2247001327
9722433361
10312214231
1115026719a
1288687647
134c8b6464
142d6729a7
151c622dc1
hex129c02d7

312214231 has 12 divisors (see below), whose sum is σ = 384553008. Its totient is φ = 251869632.

The previous prime is 312214223. The next prime is 312214247. The reversal of 312214231 is 132412213.

It is a happy number.

It is not a de Polignac number, because 312214231 - 23 = 312214223 is a prime.

It is a super-2 number, since 2×3122142312 = 194955452077842722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312214199 and 312214208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312214031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186571 + ... + 188236.

It is an arithmetic number, because the mean of its divisors is an integer number (32046084).

Almost surely, 2312214231 is an apocalyptic number.

312214231 is a deficient number, since it is larger than the sum of its proper divisors (72338777).

312214231 is a wasteful number, since it uses less digits than its factorization.

312214231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374838 (or 374831 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 312214231 is about 17669.5849130646. The cubic root of 312214231 is about 678.3974886884.

Adding to 312214231 its reverse (132412213), we get a palindrome (444626444).

It can be divided in two parts, 312214 and 231, that added together give a triangular number (312445 = T790).

The spelling of 312214231 in words is "three hundred twelve million, two hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 7 17 49 119 833 374807 2623649 6371719 18365543 44602033 312214231