228321000 has 192 divisors, whose sum is σ = 806008320. Its totient is φ = 58185600.

The previous prime is 228320951. The next prime is 228321001. The reversal of 228321000 is 123822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228321001) 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 47 ways as a sum of consecutive naturals, for example, 206449 + ... + 207551.

It is an arithmetic number, because the mean of its divisors is an integer number (4197960).

Almost surely, 2^228321000 is an apocalyptic number.

228321000 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 228321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403004160).

228321000 is an abundant number, since it is smaller than the sum of its proper divisors (577687320).

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

228321000 is a wasteful number, since it uses less digits than its factorization.

228321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228321000 is about 15110.2945040790. The cubic root of 228321000 is about 611.1980396696.

Adding to 228321000 its reverse (123822), we get a palindrome (228444822).

It can be divided in two parts, 22832 and 1000, that added together give a palindrome (23832).

The spelling of 228321000 in words is "two hundred twenty-eight million, three hundred twenty-one thousand".