22550400 has 288 divisors, whose sum is σ = 86322600. Its totient is φ = 5806080.

The previous prime is 22550399. The next prime is 22550401. The reversal of 22550400 is 405522.

It is an interprime number because it is at equal distance from previous prime (22550399) and next prime (22550401).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22550401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777586 + ... + 777614.

Almost surely, 2^22550400 is an apocalyptic number.

22550400 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 22550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43161300).

22550400 is an abundant number, since it is smaller than the sum of its proper divisors (63772200).

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

22550400 is an equidigital number, since it uses as much as digits as its factorization.

22550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22550400 is about 4748.7261449783. The cubic root of 22550400 is about 282.5214435389.

Adding to 22550400 its reverse (405522), we get a palindrome (22955922).

It can be divided in two parts, 225 and 50400, that added together give a 4-th power (50625 = 15⁴).

The spelling of 22550400 in words is "twenty-two million, five hundred fifty thousand, four hundred".