21918500 has 48 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 8607200.

The previous prime is 21918473. The next prime is 21918509. The reversal of 21918500 is 581912.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21918500.

It is not an unprimeable number, because it can be changed into a prime (21918509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29129 + ... + 29871.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^21918500 is an apocalyptic number.

21918500 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 21918500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

21918500 is an abundant number, since it is smaller than the sum of its proper divisors (26828380).

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

21918500 is a wasteful number, since it uses less digits than its factorization.

21918500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 21918500 is about 4681.7197694864. The cubic root of 21918500 is about 279.8574955126.

The spelling of 21918500 in words is "twenty-one million, nine hundred eighteen thousand, five hundred".