21988200 has 96 divisors (see below), whose sum is σ = 73432800. Its totient is φ = 5410560.

The previous prime is 21988199. The next prime is 21988229. The reversal of 21988200 is 288912.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6391 + ... + 9209.

It is an arithmetic number, because the mean of its divisors is an integer number (764925).

Almost surely, 2^21988200 is an apocalyptic number.

21988200 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 21988200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36716400).

21988200 is an abundant number, since it is smaller than the sum of its proper divisors (51444600).

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

21988200 is a wasteful number, since it uses less digits than its factorization.

21988200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 21988200 is about 4689.1577068808. The cubic root of 21988200 is about 280.1538270393.

The spelling of 21988200 in words is "twenty-one million, nine hundred eighty-eight thousand, two hundred".