22240400 has 180 divisors, whose sum is σ = 67531392. Its totient is φ = 6888960.

The previous prime is 22240397. The next prime is 22240429. The reversal of 22240400 is 404222.

It is a happy number.

It is a super-5 number, since 5×22240400⁵ (a number of 38 digits) contains 55555 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 473177 + ... + 473223.

Almost surely, 2^22240400 is an apocalyptic number.

22240400 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 22240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33765696).

22240400 is an abundant number, since it is smaller than the sum of its proper divisors (45290992).

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

22240400 is a wasteful number, since it uses less digits than its factorization.

22240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

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

The square root of 22240400 is about 4715.9728582764. The cubic root of 22240400 is about 281.2208595323.

Adding to 22240400 its reverse (404222), we get a palindrome (22644622).

The spelling of 22240400 in words is "twenty-two million, two hundred forty thousand, four hundred".