24222420 has 72 divisors (see below), whose sum is σ = 75481224. Its totient is φ = 6283008.

The previous prime is 24222413. The next prime is 24222449. The reversal of 24222420 is 2422242.

24222420 is a `hidden beast` number, since 2 + 422 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 22867524 = 1164^2 + 4782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24222393 and 24222402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4842 + ... + 8478.

Almost surely, 2^24222420 is an apocalyptic number.

24222420 is a gapful number since it is divisible by the number (20) 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 24222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37740612).

24222420 is an abundant number, since it is smaller than the sum of its proper divisors (51258804).

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

24222420 is a wasteful number, since it uses less digits than its factorization.

24222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 24222420 is about 4921.6277795055. The cubic root of 24222420 is about 289.3382453431.

Adding to 24222420 its reverse (2422242), we get a palindrome (26644662).

It can be divided in two parts, 24222 and 420, that added together give a palindrome (24642).

The spelling of 24222420 in words is "twenty-four million, two hundred twenty-two thousand, four hundred twenty".