21901800 has 96 divisors (see below), whose sum is σ = 68611680. Its totient is φ = 5779200.

The previous prime is 21901799. The next prime is 21901811. The reversal of 21901800 is 810912.

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, 103695 + ... + 103905.

It is an arithmetic number, because the mean of its divisors is an integer number (714705).

Almost surely, 2^21901800 is an apocalyptic number.

21901800 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 21901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34305840).

21901800 is an abundant number, since it is smaller than the sum of its proper divisors (46709880).

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

21901800 is a wasteful number, since it uses less digits than its factorization.

21901800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 21901800 is about 4679.9358969969. The cubic root of 21901800 is about 279.7864017236.

The spelling of 21901800 in words is "twenty-one million, nine hundred one thousand, eight hundred".