4229779224 has 96 divisors (see below), whose sum is σ = 11947890240. Its totient is φ = 1237488000.

The previous prime is 4229779171. The next prime is 4229779261.

4229779224 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 212499 + ... + 231549.

It is an arithmetic number, because the mean of its divisors is an integer number (124457190).

Almost surely, 2^4229779224 is an apocalyptic number.

4229779224 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 4229779224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973945120).

4229779224 is an abundant number, since it is smaller than the sum of its proper divisors (7718111016).

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

4229779224 is a wasteful number, since it uses less digits than its factorization.

4229779224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19129 (or 19096 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 4229779224 is about 65036.7528709729. The cubic root of 4229779224 is about 1617.2328954951.

The spelling of 4229779224 in words is "four billion, two hundred twenty-nine million, seven hundred seventy-nine thousand, two hundred twenty-four".