19225200 has 120 divisors (see below), whose sum is σ = 63395248. Its totient is φ = 4976640.

The previous prime is 19225189. The next prime is 19225201. The reversal of 19225200 is 252291.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19225201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44184 + ... + 44616.

Almost surely, 2^19225200 is an apocalyptic number.

19225200 is a gapful number since it is divisible by the number (10) 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 19225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31697624).

19225200 is an abundant number, since it is smaller than the sum of its proper divisors (44170048).

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

19225200 is a wasteful number, since it uses less digits than its factorization.

19225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 19225200 is about 4384.6550605492. The cubic root of 19225200 is about 267.8902795830.

Adding to 19225200 its reverse (252291), we get a palindrome (19477491).

The spelling of 19225200 in words is "nineteen million, two hundred twenty-five thousand, two hundred".