4226320224 has 288 divisors, whose sum is σ = 14673125376. Its totient is φ = 1126379520.

The previous prime is 4226320211. The next prime is 4226320237. The reversal of 4226320224 is 4220236224.

It is a happy number.

4226320224 is a `hidden beast` number, since 4 + 2 + 2 + 632 + 0 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (4226320211) and next prime (4226320237).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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, 4352059 + ... + 4353029.

It is an arithmetic number, because the mean of its divisors is an integer number (50948352).

Almost surely, 2^4226320224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336562688).

4226320224 is an abundant number, since it is smaller than the sum of its proper divisors (10446805152).

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

4226320224 is a wasteful number, since it uses less digits than its factorization.

4226320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4226320224 is about 65010.1547760040. The cubic root of 4226320224 is about 1616.7919320422.

Adding to 4226320224 its reverse (4220236224), we get a palindrome (8446556448).

The spelling of 4226320224 in words is "four billion, two hundred twenty-six million, three hundred twenty thousand, two hundred twenty-four".