223221000 has 128 divisors (see below), whose sum is σ = 715628160. Its totient is φ = 57888000.

The previous prime is 223220983. The next prime is 223221017. The reversal of 223221000 is 122322.

It is an interprime number because it is at equal distance from previous prime (223220983) and next prime (223221017).

It is a super-3 number, since 3×223221000³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 109995 + ... + 112005.

It is an arithmetic number, because the mean of its divisors is an integer number (5590845).

Almost surely, 2^223221000 is an apocalyptic number.

223221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357814080).

223221000 is an abundant number, since it is smaller than the sum of its proper divisors (492407160).

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

223221000 is a wasteful number, since it uses less digits than its factorization.

223221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223221000 is about 14940.5823179687. The cubic root of 223221000 is about 606.6129579846.

Adding to 223221000 its reverse (122322), we get a palindrome (223343322).

It can be divided in two parts, 2232 and 21000, that added together give a palindrome (23232).

The spelling of 223221000 in words is "two hundred twenty-three million, two hundred twenty-one thousand".