4202222024 has 128 divisors (see below), whose sum is σ = 10779713280. Its totient is φ = 1482624000.

The previous prime is 4202222009. The next prime is 4202222029.

4202222024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4202221987 and 4202222005.

It is not an unprimeable number, because it can be changed into a prime (4202222029) by changing a digit.

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, 419474 + ... + 429374.

It is an arithmetic number, because the mean of its divisors is an integer number (84216510).

Almost surely, 2^4202222024 is an apocalyptic number.

4202222024 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 4202222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389856640).

4202222024 is an abundant number, since it is smaller than the sum of its proper divisors (6577491256).

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

4202222024 is a wasteful number, since it uses less digits than its factorization.

4202222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4202222024 is about 64824.5480045947. The cubic root of 4202222024 is about 1613.7131257965.

It can be divided in two parts, 42022 and 22024, that added together give a palindrome (64046).

The spelling of 4202222024 in words is "four billion, two hundred two million, two hundred twenty-two thousand, twenty-four".