21936200 has 144 divisors (see below), whose sum is σ = 61268400. Its totient is φ = 7238400.

The previous prime is 21936191. The next prime is 21936217. The reversal of 21936200 is 263912.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 371771 + ... + 371829.

It is an arithmetic number, because the mean of its divisors is an integer number (425475).

Almost surely, 2^21936200 is an apocalyptic number.

21936200 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 21936200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30634200).

21936200 is an abundant number, since it is smaller than the sum of its proper divisors (39332200).

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

21936200 is a wasteful number, since it uses less digits than its factorization.

21936200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 21936200 is about 4683.6097190095. The cubic root of 21936200 is about 279.9328070059.

The spelling of 21936200 in words is "twenty-one million, nine hundred thirty-six thousand, two hundred".