42224600 has 96 divisors (see below), whose sum is σ = 113497200. Its totient is φ = 14438400.

The previous prime is 42224599. The next prime is 42224603. The reversal of 42224600 is 642224.

42224600 = 1568² + 1569² + ... + 1584².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36836 + ... + 37964.

Almost surely, 2^42224600 is an apocalyptic number.

42224600 is a gapful number since it is divisible by the number (40) 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 42224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56748600).

42224600 is an abundant number, since it is smaller than the sum of its proper divisors (71272600).

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

42224600 is a wasteful number, since it uses less digits than its factorization.

42224600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42224600 is about 6498.0458601029. The cubic root of 42224600 is about 348.2211788122.

Adding to 42224600 its reverse (642224), we get a palindrome (42866824).

It can be divided in two parts, 42224 and 600, that added together give a palindrome (42824).

The spelling of 42224600 in words is "forty-two million, two hundred twenty-four thousand, six hundred".