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212425 = 5229293
BaseRepresentation
bin110011110111001001
3101210101121
4303313021
523244200
64315241
71543213
oct636711
9353347
10212425
11135664
12a2b21
13758c5
14575b3
1542e1a
hex33dc9

212425 has 12 divisors (see below), whose sum is σ = 273420. Its totient is φ = 163520.

The previous prime is 212423. The next prime is 212437. The reversal of 212425 is 524212.

It can be written as a sum of positive squares in 6 ways, for example, as 4489 + 207936 = 67^2 + 456^2 .

It is not a de Polignac number, because 212425 - 21 = 212423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212399 and 212408.

It is not an unprimeable number, because it can be changed into a prime (212423) 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 11 ways as a sum of consecutive naturals, for example, 579 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2212425 is an apocalyptic number.

212425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212425 is a deficient number, since it is larger than the sum of its proper divisors (60995).

212425 is a wasteful number, since it uses less digits than its factorization.

212425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 212425 is about 460.8958667638. The cubic root of 212425 is about 59.6671382809.

Adding to 212425 its reverse (524212), we get a palindrome (736637).

It can be divided in two parts, 212 and 425, that multiplied together give a triangular number (90100 = T424).

The spelling of 212425 in words is "two hundred twelve thousand, four hundred twenty-five".

Divisors: 1 5 25 29 145 293 725 1465 7325 8497 42485 212425