4222772224 has 132 divisors (see below), whose sum is σ = 9379591452. Its totient is φ = 1898659840.

The previous prime is 4222772221. The next prime is 4222772233.

4222772224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4014489600 + 208282624 = 63360^2 + 14432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4222772224.

It is not an unprimeable number, because it can be changed into a prime (4222772221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21435294 + ... + 21435490.

It is an arithmetic number, because the mean of its divisors is an integer number (71057511).

Almost surely, 2^4222772224 is an apocalyptic number.

4222772224 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 4222772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689795726).

4222772224 is an abundant number, since it is smaller than the sum of its proper divisors (5156819228).

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

4222772224 is a wasteful number, since it uses less digits than its factorization.

4222772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 383 counting only the distinct ones).

The product of its digits is 50176, while the sum is 34.

The square root of 4222772224 is about 64982.8610019596. The cubic root of 4222772224 is about 1616.3393725695.

The spelling of 4222772224 in words is "four billion, two hundred twenty-two million, seven hundred seventy-two thousand, two hundred twenty-four".