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212463 = 344361
BaseRepresentation
bin110011110111101111
3101210110000
4303313233
523244323
64315343
71543266
oct636757
9353400
10212463
11135699
12a2b53
1375924
14575dd
1542e43
hex33def

212463 has 20 divisors (see below), whose sum is σ = 330088. Its totient is φ = 136080.

The previous prime is 212461. The next prime is 212467. The reversal of 212463 is 364212.

It is a happy number.

It is not a de Polignac number, because 212463 - 21 = 212461 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3453 + ... + 3513.

2212463 is an apocalyptic number.

212463 is a deficient number, since it is larger than the sum of its proper divisors (117625).

212463 is an equidigital number, since it uses as much as digits as its factorization.

212463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

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

The square root of 212463 is about 460.9370889829. The cubic root of 212463 is about 59.6706959539.

Adding to 212463 its reverse (364212), we get a palindrome (576675).

It can be divided in two parts, 2124 and 63, that added together give a 7-th power (2187 = 37).

The spelling of 212463 in words is "two hundred twelve thousand, four hundred sixty-three".

Divisors: 1 3 9 27 43 61 81 129 183 387 549 1161 1647 2623 3483 4941 7869 23607 70821 212463