205212233 has 8 divisors (see below), whose sum is σ = 215678400. Its totient is φ = 194874768.

The previous prime is 205212193. The next prime is 205212239. The reversal of 205212233 is 332212502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205212233 - 2¹² = 205208137 is a prime.

It is a super-2 number, since 2×205212233² = 84224121145692578, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205212239) 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 7 ways as a sum of consecutive naturals, for example, 28898 + ... + 35291.

It is an arithmetic number, because the mean of its divisors is an integer number (26959800).

Almost surely, 2^205212233 is an apocalyptic number.

205212233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205212233 is a deficient number, since it is larger than the sum of its proper divisors (10466167).

205212233 is a wasteful number, since it uses less digits than its factorization.

205212233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64351.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 205212233 is about 14325.2306438675. The cubic root of 205212233 is about 589.8402641402.

Adding to 205212233 its reverse (332212502), we get a palindrome (537424735).

The spelling of 205212233 in words is "two hundred five million, two hundred twelve thousand, two hundred thirty-three".