223212033 has 48 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 128404320.

The previous prime is 223212029. The next prime is 223212049. The reversal of 223212033 is 330212322.

It is a happy number.

It is not a de Polignac number, because 223212033 - 2² = 223212029 is a prime.

It is a super-3 number, since 3×223212033³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223211997 and 223212015.

It is not an unprimeable number, because it can be changed into a prime (223212233) 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 47 ways as a sum of consecutive naturals, for example, 379966 + ... + 380552.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2^223212033 is an apocalyptic number.

223212033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

223212033 is a deficient number, since it is larger than the sum of its proper divisors (146635263).

223212033 is a wasteful number, since it uses less digits than its factorization.

223212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 791 counting only the distinct ones).

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

The square root of 223212033 is about 14940.2822262499. The cubic root of 223212033 is about 606.6048351359.

Adding to 223212033 its reverse (330212322), we get a palindrome (553424355).

The spelling of 223212033 in words is "two hundred twenty-three million, two hundred twelve thousand, thirty-three".