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21216200 = 2352432467
BaseRepresentation
bin101000011101…
…1101111001000
31110220220011012
41100323233020
520412404300
62034423052
7345222545
oct120735710
943826135
1021216200
1110a81055
127131a88
13451ab85
142b63bcc
151ce1435
hex143bbc8

21216200 has 48 divisors (see below), whose sum is σ = 50495280. Its totient is φ = 8285760.

The previous prime is 21216199. The next prime is 21216203. The reversal of 21216200 is 261212.

It is not an unprimeable number, because it can be changed into a prime (21216203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7367 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (1051985).

Almost surely, 221216200 is an apocalyptic number.

21216200 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 21216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25247640).

21216200 is an abundant number, since it is smaller than the sum of its proper divisors (29279080).

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

21216200 is a wasteful number, since it uses less digits than its factorization.

21216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 21216200 is about 4606.1046449250. The cubic root of 21216200 is about 276.8359796526.

Adding to 21216200 its reverse (261212), we get a palindrome (21477412).

The spelling of 21216200 in words is "twenty-one million, two hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 2467 4300 4934 8600 9868 12335 19736 24670 49340 61675 98680 106081 123350 212162 246700 424324 493400 530405 848648 1060810 2121620 2652025 4243240 5304050 10608100 21216200