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212413221 = 3227538573
BaseRepresentation
bin11001010100100…
…10101100100101
3112210200201011100
430222102230211
5413334210341
633024430313
75156324346
oct1452225445
9483621140
10212413221
11a99a1219
125b178399
13350123c7
14202d40cd
15139ac3b6
hexca92b25

212413221 has 12 divisors (see below), whose sum is σ = 306966348. Its totient is φ = 141540864.

The previous prime is 212413213. The next prime is 212413237. The reversal of 212413221 is 122314212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 141348321 + 71064900 = 11889^2 + 8430^2 .

It is not a de Polignac number, because 212413221 - 23 = 212413213 is a prime.

It is a super-3 number, since 3×2124132213 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212413194 and 212413203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212413321) 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, 20491 + ... + 29063.

It is an arithmetic number, because the mean of its divisors is an integer number (25580529).

Almost surely, 2212413221 is an apocalyptic number.

It is an amenable number.

212413221 is a deficient number, since it is larger than the sum of its proper divisors (94553127).

212413221 is a wasteful number, since it uses less digits than its factorization.

212413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11329 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212413221 is about 14574.4029380280. The cubic root of 212413221 is about 596.6603540975.

Adding to 212413221 its reverse (122314212), we get a palindrome (334727433).

Subtracting from 212413221 its reverse (122314212), we obtain a palindrome (90099009).

The spelling of 212413221 in words is "two hundred twelve million, four hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 2753 8259 8573 24777 25719 77157 23601469 70804407 212413221