22242420 has 72 divisors (see below), whose sum is σ = 69811560. Its totient is φ = 5725440.

The previous prime is 22242419. The next prime is 22242427. The reversal of 22242420 is 2424222.

22242420 is a `hidden beast` number, since 2 + 2 + 242 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 14424804 = 2796^2 + 3798^2 .

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 = 22242393 and 22242402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3090 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (969605).

Almost surely, 2^22242420 is an apocalyptic number.

22242420 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 22242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34905780).

22242420 is an abundant number, since it is smaller than the sum of its proper divisors (47569140).

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

22242420 is a wasteful number, since it uses less digits than its factorization.

22242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4300 counting only the distinct ones).

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

The square root of 22242420 is about 4716.1870191925. The cubic root of 22242420 is about 281.2293733021.

Adding to 22242420 its reverse (2424222), we get a palindrome (24666642).

It can be divided in two parts, 2 and 2242420, that added together give a palindrome (2242422).

The spelling of 22242420 in words is "twenty-two million, two hundred forty-two thousand, four hundred twenty".