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4233213 = 321014657
BaseRepresentation
bin10000001001011111111101
321222001212200
4100021133331
52040430323
6230422113
750660505
oct20113775
97861780
104233213
112431526
121501939
13b52a7a
147c2a05
15589443
hex4097fd

4233213 has 12 divisors (see below), whose sum is σ = 6176508. Its totient is φ = 2793600.

The previous prime is 4233199. The next prime is 4233247. The reversal of 4233213 is 3123324.

4233213 = 322 + 332 + ... + 2332.

It can be written as a sum of positive squares in 2 ways, for example, as 2442969 + 1790244 = 1563^2 + 1338^2 .

It is not a de Polignac number, because 4233213 - 212 = 4229117 is a prime.

It is a Curzon number.

4233213 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233263) 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, 1420 + ... + 3237.

It is an arithmetic number, because the mean of its divisors is an integer number (514709).

Almost surely, 24233213 is an apocalyptic number.

It is an amenable number.

4233213 is a deficient number, since it is larger than the sum of its proper divisors (1943295).

4233213 is a wasteful number, since it uses less digits than its factorization.

4233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4761 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 4233213 is about 2057.4773388789. The cubic root of 4233213 is about 161.7670405600.

Adding to 4233213 its reverse (3123324), we get a palindrome (7356537).

It can be divided in two parts, 423321 and 3, that added together give a palindrome (423324).

The spelling of 4233213 in words is "four million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 101 303 909 4657 13971 41913 470357 1411071 4233213