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21204224 = 28113733
BaseRepresentation
bin101000011100…
…0110100000000
31110220021201122
41100320310000
520412013344
62034251412
7345142616
oct120706400
943807648
1021204224
1110a73058
127126b68
1345155a2
142b5d6b6
151cdcaee
hex1438d00

21204224 has 36 divisors (see below), whose sum is σ = 42758436. Its totient is φ = 10493952.

The previous prime is 21204223. The next prime is 21204241. The reversal of 21204224 is 42240212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 10758400 = 3232^2 + 3280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21204223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28562 + ... + 29294.

Almost surely, 221204224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379218).

21204224 is an abundant number, since it is smaller than the sum of its proper divisors (21554212).

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

21204224 is an equidigital number, since it uses as much as digits as its factorization.

21204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 21204224 is about 4604.8044475309. The cubic root of 21204224 is about 276.7838809151.

Adding to 21204224 its reverse (42240212), we get a palindrome (63444436).

The spelling of 21204224 in words is "twenty-one million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 733 904 1466 1808 2932 3616 5864 7232 11728 14464 23456 28928 46912 82829 93824 165658 187648 331316 662632 1325264 2650528 5301056 10602112 21204224