21919200 has 72 divisors (see below), whose sum is σ = 71354808. Its totient is φ = 5844480.

The previous prime is 21919189. The next prime is 21919213. The reversal of 21919200 is 291912.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 2167 + ... + 6966.

It is an arithmetic number, because the mean of its divisors is an integer number (991039).

Almost surely, 2^21919200 is an apocalyptic number.

21919200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21919200 is an abundant number, since it is smaller than the sum of its proper divisors (49435608).

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

21919200 is a wasteful number, since it uses less digits than its factorization.

21919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 21919200 is about 4681.7945277425. The cubic root of 21919200 is about 279.8604747031.

The spelling of 21919200 in words is "twenty-one million, nine hundred nineteen thousand, two hundred".