2233224000 has 672 divisors, whose sum is σ = 9576328320. Its totient is φ = 508032000.

The previous prime is 2233223929. The next prime is 2233224011. The reversal of 2233224000 is 4223322.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10583895 + ... + 10584105.

Almost surely, 2^2233224000 is an apocalyptic number.

2233224000 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 2233224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788164160).

2233224000 is an abundant number, since it is smaller than the sum of its proper divisors (7343104320).

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

2233224000 is a wasteful number, since it uses less digits than its factorization.

2233224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2233224000 is about 47256.9994815583. Note that the first 3 decimals coincide. The cubic root of 2233224000 is about 1307.1058614323.

Adding to 2233224000 its reverse (4223322), we get a palindrome (2237447322).

It can be divided in two parts, 223 and 3224000, that added together give a palindrome (3224223).

The spelling of 2233224000 in words is "two billion, two hundred thirty-three million, two hundred twenty-four thousand".