19214200 has 48 divisors (see below), whose sum is σ = 46626480. Its totient is φ = 7349760.

The previous prime is 19214197. The next prime is 19214201. The reversal of 19214200 is 241291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19214201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2512 + ... + 6688.

It is an arithmetic number, because the mean of its divisors is an integer number (971385).

Almost surely, 2^19214200 is an apocalyptic number.

19214200 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 19214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313240).

19214200 is an abundant number, since it is smaller than the sum of its proper divisors (27412280).

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

19214200 is a wasteful number, since it uses less digits than its factorization.

19214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 19214200 is about 4383.4005064561. The cubic root of 19214200 is about 267.8391772924.

Adding to 19214200 its reverse (241291), we get a palindrome (19455491).

The spelling of 19214200 in words is "nineteen million, two hundred fourteen thousand, two hundred".