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21000224 = 257259227
BaseRepresentation
bin101000000011…
…1000000100000
31110111220220002
41100013000200
520334001344
62030035132
7343333100
oct120070040
943456802
1021000224
1110943863
127048aa8
13447378b
142b09200
151c9c44e
hex1407020

21000224 has 72 divisors (see below), whose sum is σ = 49124880. Its totient is φ = 8808576.

The previous prime is 21000193. The next prime is 21000229. The reversal of 21000224 is 42200012.

It is not an unprimeable number, because it can be changed into a prime (21000229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92399 + ... + 92625.

It is an arithmetic number, because the mean of its divisors is an integer number (682290).

Almost surely, 221000224 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 21000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562440).

21000224 is an abundant number, since it is smaller than the sum of its proper divisors (28124656).

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

21000224 is a wasteful number, since it uses less digits than its factorization.

21000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 21000224 is about 4582.6001352944. The cubic root of 21000224 is about 275.8933985854.

Adding to 21000224 its reverse (42200012), we get a palindrome (63200236).

The spelling of 21000224 in words is "twenty-one million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 227 236 392 413 454 472 784 826 908 944 1568 1589 1652 1816 1888 2891 3178 3304 3632 5782 6356 6608 7264 11123 11564 12712 13216 13393 22246 23128 25424 26786 44492 46256 50848 53572 88984 92512 93751 107144 177968 187502 214288 355936 375004 428576 656257 750008 1312514 1500016 2625028 3000032 5250056 10500112 21000224