4226116224 has 256 divisors, whose sum is σ = 13073788800. Its totient is φ = 1195376640.

The previous prime is 4226116177. The next prime is 4226116243.

4226116224 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4226116191 and 4226116200.

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 31 ways as a sum of consecutive naturals, for example, 16443904 + ... + 16444160.

Almost surely, 2^4226116224 is an apocalyptic number.

4226116224 is a gapful number since it is divisible by the number (44) 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 4226116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536894400).

4226116224 is an abundant number, since it is smaller than the sum of its proper divisors (8847672576).

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

4226116224 is a wasteful number, since it uses less digits than its factorization.

4226116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4226116224 is about 65008.5857714195. The cubic root of 4226116224 is about 1616.7659180123.

It can be divided in two parts, 42261 and 16224, that added together give a palindrome (58485).

The spelling of 4226116224 in words is "four billion, two hundred twenty-six million, one hundred sixteen thousand, two hundred twenty-four".