21114500 has 72 divisors (see below), whose sum is σ = 50832600. Its totient is φ = 7656000.

The previous prime is 21114463. The next prime is 21114521. The reversal of 21114500 is 541112.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 20939776 = 418^2 + 4576^2 .

It is a super-2 number, since 2×21114500² = 891644220500000, which contains 22 as substring.

It is a congruent number.

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, 60326 + ... + 60674.

Almost surely, 2^21114500 is an apocalyptic number.

21114500 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 21114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25416300).

21114500 is an abundant number, since it is smaller than the sum of its proper divisors (29718100).

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

21114500 is a wasteful number, since it uses less digits than its factorization.

21114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 21114500 is about 4595.0516863252. The cubic root of 21114500 is about 276.3929325922.

Adding to 21114500 its reverse (541112), we get a palindrome (21655612).

The spelling of 21114500 in words is "twenty-one million, one hundred fourteen thousand, five hundred".