221232000 has 256 divisors, whose sum is σ = 801964800. Its totient is φ = 53504000.

The previous prime is 221231993. The next prime is 221232001. The reversal of 221232000 is 232122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221232001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527791 + ... + 528209.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^221232000 is an apocalyptic number.

221232000 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 221232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

221232000 is an abundant number, since it is smaller than the sum of its proper divisors (580732800).

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

221232000 is a wasteful number, since it uses less digits than its factorization.

221232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 440 counting only the distinct ones).

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

The square root of 221232000 is about 14873.8697049557. The cubic root of 221232000 is about 604.8058480440.

Adding to 221232000 its reverse (232122), we get a palindrome (221464122).

It can be divided in two parts, 221 and 232000, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 221232000 in words is "two hundred twenty-one million, two hundred thirty-two thousand".