21354200 has 72 divisors (see below), whose sum is σ = 57780900. Its totient is φ = 7318080.

The previous prime is 21354197. The next prime is 21354241. The reversal of 21354200 is 245312.

21354200 = 636² + 637² + ... + 684².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8711 + ... + 10889.

Almost surely, 2^21354200 is an apocalyptic number.

21354200 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 21354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28890450).

21354200 is an abundant number, since it is smaller than the sum of its proper divisors (36426700).

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

21354200 is a wasteful number, since it uses less digits than its factorization.

21354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 21354200 is about 4621.0604843477. The cubic root of 21354200 is about 277.4349061399.

Adding to 21354200 its reverse (245312), we get a palindrome (21599512).

The spelling of 21354200 in words is "twenty-one million, three hundred fifty-four thousand, two hundred".