2233221120 has 360 divisors, whose sum is σ = 8372885976. Its totient is φ = 547356672.

The previous prime is 2233221119. The next prime is 2233221139. The reversal of 2233221120 is 211223322.

2233221120 is a `hidden beast` number, since 223 + 322 + 1 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 2230861824 = 1536^2 + 47232^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 2233221093 and 2233221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9584524 + ... + 9584756.

Almost surely, 2^2233221120 is an apocalyptic number.

2233221120 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 2233221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186442988).

2233221120 is an abundant number, since it is smaller than the sum of its proper divisors (6139664856).

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

2233221120 is a wasteful number, since it uses less digits than its factorization.

2233221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2233221120 is about 47256.9690098720. The cubic root of 2233221120 is about 1307.1052995441.

Adding to 2233221120 its reverse (211223322), we get a palindrome (2444444442).

The spelling of 2233221120 in words is "two billion, two hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".