21433200 has 120 divisors (see below), whose sum is σ = 70160688. Its totient is φ = 5591040.

The previous prime is 21433163. The next prime is 21433207. The reversal of 21433200 is 233412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21433200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433207) by changing a digit.

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, 63432 + ... + 63768.

Almost surely, 2^21433200 is an apocalyptic number.

21433200 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 21433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080344).

21433200 is an abundant number, since it is smaller than the sum of its proper divisors (48727488).

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

21433200 is a wasteful number, since it uses less digits than its factorization.

21433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 21433200 is about 4629.6004147226. The cubic root of 21433200 is about 277.7766091803.

Adding to 21433200 its reverse (233412), we get a palindrome (21666612).

The spelling of 21433200 in words is "twenty-one million, four hundred thirty-three thousand, two hundred".