4222224 has 60 divisors (see below), whose sum is σ = 11969100. Its totient is φ = 1389312.

The previous prime is 4222219. The next prime is 4222243.

4222224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 2782224 = 1200^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 4² + 2¹⁰ + 2¹¹ + 2¹³ + 2¹⁴ + 2²² + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 4222197 and 4222206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15562 + ... + 15830.

It is an arithmetic number, because the mean of its divisors is an integer number (199485).

Almost surely, 2^4222224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984550).

4222224 is an abundant number, since it is smaller than the sum of its proper divisors (7746876).

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

4222224 is a wasteful number, since it uses less digits than its factorization.

4222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 4222224 is about 2054.8051002467. The cubic root of 4222224 is about 161.6269422125.

The spelling of 4222224 in words is "four million, two hundred twenty-two thousand, two hundred twenty-four".