22442000 has 120 divisors (see below), whose sum is σ = 63399960. Its totient is φ = 7660800.

The previous prime is 22441999. The next prime is 22442029. The reversal of 22442000 is 24422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 22391824 = 224^2 + 4732^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97886 + ... + 98114.

It is an arithmetic number, because the mean of its divisors is an integer number (528333).

Almost surely, 2^22442000 is an apocalyptic number.

22442000 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 22442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699980).

22442000 is an abundant number, since it is smaller than the sum of its proper divisors (40957960).

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

22442000 is a wasteful number, since it uses less digits than its factorization.

22442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 22442000 is about 4737.2988083928. The cubic root of 22442000 is about 282.0680217514.

Adding to 22442000 its reverse (24422), we get a palindrome (22466422).

It can be divided in two parts, 224 and 42000, that added together give a palindrome (42224).

The spelling of 22442000 in words is "twenty-two million, four hundred forty-two thousand".