42244224 has 128 divisors (see below), whose sum is σ = 124994880. Its totient is φ = 12533760.

The previous prime is 42244217. The next prime is 42244229.

42244224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42244224² = 3569148922724352, which contains 22 as substring.

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 = 42244194 and 42244203.

It is not an unprimeable number, because it can be changed into a prime (42244229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 308284 + ... + 308420.

Almost surely, 2^42244224 is an apocalyptic number.

42244224 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 42244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62497440).

42244224 is an abundant number, since it is smaller than the sum of its proper divisors (82750656).

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

42244224 is a wasteful number, since it uses less digits than its factorization.

42244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 42244224 is about 6499.5556771213. Note that the first 3 decimals coincide. The cubic root of 42244224 is about 348.2751160436.

It can be divided in two parts, 4224 and 4224, that added together give a palindrome (8448).

The spelling of 42244224 in words is "forty-two million, two hundred forty-four thousand, two hundred twenty-four".