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21338163 = 3271141751
BaseRepresentation
bin101000101100…
…1100000110011
31111011002110100
41101121200303
520430310123
62041203443
7346241250
oct121314063
944132410
1021338163
1111054750
127190583
134561542
142b96427
151d17643
hex1459833

21338163 has 48 divisors (see below), whose sum is σ = 39416832. Its totient is φ = 10800000.

The previous prime is 21338153. The next prime is 21338183. The reversal of 21338163 is 36183312.

It is a happy number.

It is not a de Polignac number, because 21338163 - 25 = 21338131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21338143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28038 + ... + 28788.

It is an arithmetic number, because the mean of its divisors is an integer number (821184).

Almost surely, 221338163 is an apocalyptic number.

21338163 is a deficient number, since it is larger than the sum of its proper divisors (18078669).

21338163 is a wasteful number, since it uses less digits than its factorization.

21338163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 21338163 is about 4619.3249506827. The cubic root of 21338163 is about 277.3654375600.

It can be divided in two parts, 213381 and 63, that added together give a square (213444 = 4622).

The spelling of 21338163 in words is "twenty-one million, three hundred thirty-eight thousand, one hundred sixty-three".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 751 861 1353 2253 2583 3157 4059 5257 6759 8261 9471 15771 24783 28413 30791 47313 57827 74349 92373 173481 215537 277119 338701 520443 646611 1016103 1939833 2370907 3048309 7112721 21338163