21833424 has 120 divisors (see below), whose sum is σ = 64892672. Its totient is φ = 6842880.

The previous prime is 21833411. The next prime is 21833431. The reversal of 21833424 is 42433812.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299052 + ... + 299124.

Almost surely, 2^21833424 is an apocalyptic number.

21833424 is a gapful number since it is divisible by the number (24) 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 21833424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32446336).

21833424 is an abundant number, since it is smaller than the sum of its proper divisors (43059248).

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

21833424 is a wasteful number, since it uses less digits than its factorization.

21833424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 21833424 is about 4672.6249582007. The cubic root of 21833424 is about 279.4949398674.

The spelling of 21833424 in words is "twenty-one million, eight hundred thirty-three thousand, four hundred twenty-four".