422161224 has 64 divisors (see below), whose sum is σ = 1099837440. Its totient is φ = 134882880.

The previous prime is 422161189. The next prime is 422161249.

It is a happy number.

422161224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 422161194 and 422161203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76957 + ... + 82259.

It is an arithmetic number, because the mean of its divisors is an integer number (17184960).

Almost surely, 2^422161224 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 422161224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549918720).

422161224 is an abundant number, since it is smaller than the sum of its proper divisors (677676216).

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

422161224 is a wasteful number, since it uses less digits than its factorization.

422161224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5446 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 422161224 is about 20546.5623402067. The cubic root of 422161224 is about 750.1695758780.

The spelling of 422161224 in words is "four hundred twenty-two million, one hundred sixty-one thousand, two hundred twenty-four".