21432200 has 48 divisors (see below), whose sum is σ = 50370660. Its totient is φ = 8480000.

The previous prime is 21432199. The next prime is 21432211. The reversal of 21432200 is 223412.

It can be written as a sum of positive squares in 6 ways, for example, as 15507844 + 5924356 = 3938^2 + 2434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19670 + ... + 20730.

Almost surely, 2^21432200 is an apocalyptic number.

21432200 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 21432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185330).

21432200 is an abundant number, since it is smaller than the sum of its proper divisors (28938460).

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

21432200 is a wasteful number, since it uses less digits than its factorization.

21432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 21432200 is about 4629.4924127813. The cubic root of 21432200 is about 277.7722890767.

Adding to 21432200 its reverse (223412), we get a palindrome (21655612).

The spelling of 21432200 in words is "twenty-one million, four hundred thirty-two thousand, two hundred".