19225000 has 48 divisors (see below), whose sum is σ = 45114300. Its totient is φ = 7680000.

The previous prime is 19224983. The next prime is 19225001. The reversal of 19225000 is 52291.

It can be written as a sum of positive squares in 6 ways, for example, as 3048516 + 16176484 = 1746^2 + 4022^2 .

It is not an unprimeable number, because it can be changed into a prime (19225001) 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 11 ways as a sum of consecutive naturals, for example, 24616 + ... + 25384.

Almost surely, 2^19225000 is an apocalyptic number.

19225000 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 19225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22557150).

19225000 is an abundant number, since it is smaller than the sum of its proper divisors (25889300).

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

19225000 is an frugal number, since it uses more digits than its factorization.

19225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 19225000 is about 4384.6322536788. The cubic root of 19225000 is about 267.8893506245.

Adding to 19225000 its reverse (52291), we get a palindrome (19277291).

It can be divided in two parts, 1922 and 5000, that multiplied together give a square (9610000 = 3100²).

The spelling of 19225000 in words is "nineteen million, two hundred twenty-five thousand".