4228888224 has 48 divisors (see below), whose sum is σ = 12110001120. Its totient is φ = 1281480960.

The previous prime is 4228888217. The next prime is 4228888231.

4228888224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4228888217) and next prime (4228888231).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4228888224² = 35766991222171748352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

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 7 ways as a sum of consecutive naturals, for example, 2001259 + ... + 2003370.

It is an arithmetic number, because the mean of its divisors is an integer number (252291690).

Almost surely, 2^4228888224 is an apocalyptic number.

4228888224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4228888224 is an abundant number, since it is smaller than the sum of its proper divisors (7881112896).

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

4228888224 is a wasteful number, since it uses less digits than its factorization.

4228888224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004653 (or 4004645 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 4228888224 is about 65029.9025372174. The cubic root of 4228888224 is about 1617.1193311990.

The spelling of 4228888224 in words is "four billion, two hundred twenty-eight million, eight hundred eighty-eight thousand, two hundred twenty-four".