20249200 has 120 divisors (see below), whose sum is σ = 53139456. Its totient is φ = 7392000.

The previous prime is 20249189. The next prime is 20249237. The reversal of 20249200 is 294202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 285165 + ... + 285235.

Almost surely, 2^20249200 is an apocalyptic number.

20249200 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 20249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569728).

20249200 is an abundant number, since it is smaller than the sum of its proper divisors (32890256).

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

20249200 is a wasteful number, since it uses less digits than its factorization.

20249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20249200 is about 4499.9111102332. The cubic root of 20249200 is about 272.5644995035.

It can be divided in two parts, 20249 and 200, that added together give a square (20449 = 143²).

The spelling of 20249200 in words is "twenty million, two hundred forty-nine thousand, two hundred".