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312212 = 2289877
BaseRepresentation
bin1001100001110010100
3120212021102
41030032110
534442322
610405232
72440145
oct1141624
9525242
10312212
111a362a
12130818
13ac154
1481acc
1562792
hex4c394

312212 has 12 divisors (see below), whose sum is σ = 553140. Its totient is φ = 154176.

The previous prime is 312211. The next prime is 312217. The reversal of 312212 is 212213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 148996 = 404^2 + 386^2 .

It is a super-3 number, since 3×3122123 = 91299842583336384, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312193 and 312202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312212.

It is not an unprimeable number, because it can be changed into a prime (312211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (46095).

2312212 is an apocalyptic number.

It is an amenable number.

312212 is a deficient number, since it is larger than the sum of its proper divisors (240928).

312212 is a wasteful number, since it uses less digits than its factorization.

312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 312212 is about 558.7593399667. The cubic root of 312212 is about 67.8395872802.

Adding to 312212 its reverse (212213), we get a palindrome (524425).

Subtracting from 312212 its reverse (212213), we obtain a palindrome (99999).

The spelling of 312212 in words is "three hundred twelve thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 89 178 356 877 1754 3508 78053 156106 312212