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23213205 = 325539733
BaseRepresentation
bin101100010001…
…1010010010101
31121200100112100
41120203102111
521420310310
62145312313
7401210661
oct130432225
947610470
1023213205
1112115474
127935699
134a69b32
1431238a1
152087ec0
hex1623495

23213205 has 24 divisors (see below), whose sum is σ = 40999608. Its totient is φ = 12145536.

The previous prime is 23213189. The next prime is 23213209. The reversal of 23213205 is 50231232.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 14814801 = 2898^2 + 3849^2 .

It is not a de Polignac number, because 23213205 - 24 = 23213189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213209) 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 23 ways as a sum of consecutive naturals, for example, 2482 + ... + 7251.

It is an arithmetic number, because the mean of its divisors is an integer number (1708317).

Almost surely, 223213205 is an apocalyptic number.

It is an amenable number.

23213205 is a deficient number, since it is larger than the sum of its proper divisors (17786403).

23213205 is a wasteful number, since it uses less digits than its factorization.

23213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9794 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23213205 is about 4818.0084059703. The cubic root of 23213205 is about 285.2627309462.

Adding to 23213205 its reverse (50231232), we get a palindrome (73444437).

The spelling of 23213205 in words is "twenty-three million, two hundred thirteen thousand, two hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 9733 29199 48665 87597 145995 437985 515849 1547547 2579245 4642641 7737735 23213205