2213322144 has 192 divisors, whose sum is σ = 6578288640. Its totient is φ = 645765120.

The previous prime is 2213322143. The next prime is 2213322151. The reversal of 2213322144 is 4412233122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2213322143) 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, 3586924 + ... + 3587540.

It is an arithmetic number, because the mean of its divisors is an integer number (34261920).

Almost surely, 2^2213322144 is an apocalyptic number.

2213322144 is a gapful number since it is divisible by the number (24) 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 2213322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289144320).

2213322144 is an abundant number, since it is smaller than the sum of its proper divisors (4364966496).

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

2213322144 is a wasteful number, since it uses less digits than its factorization.

2213322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2213322144 is about 47045.9577859777. The cubic root of 2213322144 is about 1303.2114180232.

Adding to 2213322144 its reverse (4412233122), we get a palindrome (6625555266).

The spelling of 2213322144 in words is "two billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred forty-four".