422202144 has 192 divisors, whose sum is σ = 1408942080. Its totient is φ = 107688960.

The previous prime is 422202107. The next prime is 422202163. The reversal of 422202144 is 441202224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 422202144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270037 + ... + 271595.

It is an arithmetic number, because the mean of its divisors is an integer number (7338240).

Almost surely, 2^422202144 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 422202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

422202144 is an abundant number, since it is smaller than the sum of its proper divisors (986739936).

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

422202144 is a wasteful number, since it uses less digits than its factorization.

422202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 422202144 is about 20547.5581030934. The cubic root of 422202144 is about 750.1938130221.

Adding to 422202144 its reverse (441202224), we get a palindrome (863404368).

It can be divided in two parts, 422 and 202144, that added together give a triangular number (202566 = T₆₃₆).

The spelling of 422202144 in words is "four hundred twenty-two million, two hundred two thousand, one hundred forty-four".