223205313 has 8 divisors (see below), whose sum is σ = 303222528. Its totient is φ = 145995824.

The previous prime is 223205309. The next prime is 223205347. The reversal of 223205313 is 313502322.

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

It is a cyclic number.

It is not a de Polignac number, because 223205313 - 2² = 223205309 is a prime.

It is a super-3 number, since 3×223205313³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223205313.

It is not an unprimeable number, because it can be changed into a prime (223205113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701745 + ... + 702062.

It is an arithmetic number, because the mean of its divisors is an integer number (37902816).

Almost surely, 2^223205313 is an apocalyptic number.

It is an amenable number.

223205313 is a deficient number, since it is larger than the sum of its proper divisors (80017215).

223205313 is a wasteful number, since it uses less digits than its factorization.

223205313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403863.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 223205313 is about 14940.0573292073. The cubic root of 223205313 is about 606.5987476125.

Adding to 223205313 its reverse (313502322), we get a palindrome (536707635).

The spelling of 223205313 in words is "two hundred twenty-three million, two hundred five thousand, three hundred thirteen".