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312333229 = 1319266553
BaseRepresentation
bin10010100111011…
…101001110101101
3210202201011122101
4102213131032231
51114424130404
650554215101
710511534335
oct2247351655
9722634571
10312333229
1115033863a
1288724491
134c928680
142d6a40c5
151c6482a4
hex129dd3ad

312333229 has 12 divisors (see below), whose sum is σ = 354999036. Its totient is φ = 273129408.

The previous prime is 312333227. The next prime is 312333247. The reversal of 312333229 is 922333213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42224004 + 270109225 = 6498^2 + 16435^2 .

It is not a de Polignac number, because 312333229 - 21 = 312333227 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312333197 and 312333206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312333221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28584 + ... + 37969.

It is an arithmetic number, because the mean of its divisors is an integer number (29583253).

Almost surely, 2312333229 is an apocalyptic number.

It is an amenable number.

312333229 is a deficient number, since it is larger than the sum of its proper divisors (42665807).

312333229 is a wasteful number, since it uses less digits than its factorization.

312333229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66604 (or 66585 counting only the distinct ones).

The product of its digits is 5832, while the sum is 28.

The square root of 312333229 is about 17672.9519039690. The cubic root of 312333229 is about 678.4836663642.

The spelling of 312333229 in words is "three hundred twelve million, three hundred thirty-three thousand, two hundred twenty-nine".

Divisors: 1 13 19 247 361 4693 66553 865189 1264507 16438591 24025633 312333229