422282224 has 160 divisors (see below), whose sum is σ = 1063681920. Its totient is φ = 157925376.

The previous prime is 422282209. The next prime is 422282249.

422282224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a junction number, because it is equal to n+sod(n) for n = 422282192 and 422282201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082284 + ... + 3082420.

It is an arithmetic number, because the mean of its divisors is an integer number (6648012).

Almost surely, 2^422282224 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 422282224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531840960).

422282224 is an abundant number, since it is smaller than the sum of its proper divisors (641399696).

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

422282224 is a wasteful number, since it uses less digits than its factorization.

422282224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The square root of 422282224 is about 20549.5066607449. The cubic root of 422282224 is about 750.2412403217.

The spelling of 422282224 in words is "four hundred twenty-two million, two hundred eighty-two thousand, two hundred twenty-four".