223205820 has 48 divisors (see below), whose sum is σ = 638281728. Its totient is φ = 58254400.

The previous prime is 223205813. The next prime is 223205821. The reversal of 223205820 is 28502322.

It is a super-3 number, since 3×223205820³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223205821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36756 + ... + 42395.

It is an arithmetic number, because the mean of its divisors is an integer number (13297536).

Almost surely, 2^223205820 is an apocalyptic number.

223205820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223205820 is an abundant number, since it is smaller than the sum of its proper divisors (415075908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223205820 is a wasteful number, since it uses less digits than its factorization.

223205820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79210 (or 79208 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 223205820 is about 14940.0742970040. The cubic root of 223205820 is about 606.5992068987.

The spelling of 223205820 in words is "two hundred twenty-three million, two hundred five thousand, eight hundred twenty".