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21205338 = 2372117983
BaseRepresentation
bin101000011100…
…1000101011010
31110220100020220
41100321011122
520412032323
62034300510
7345146100
oct120710532
943810226
1021205338
1110a73980
127127736
134515c4b
142b5dc70
151cdd0e3
hex143915a

21205338 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 5372640.

The previous prime is 21205313. The next prime is 21205361. The reversal of 21205338 is 83350212.

It is an unprimeable number.

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, 255445 + ... + 255527.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 221205338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21205338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

21205338 is an abundant number, since it is smaller than the sum of its proper divisors (33952422).

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

21205338 is a wasteful number, since it uses less digits than its factorization.

21205338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 21205338 is about 4604.9254065620. The cubic root of 21205338 is about 276.7887279343.

The spelling of 21205338 in words is "twenty-one million, two hundred five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 79 83 98 147 154 158 166 231 237 249 294 462 474 498 539 553 581 869 913 1078 1106 1162 1617 1659 1738 1743 1826 2607 2739 3234 3318 3486 3871 4067 5214 5478 6083 6391 6557 7742 8134 11613 12166 12201 12782 13114 18249 19173 19671 23226 24402 36498 38346 39342 42581 44737 45899 72127 85162 89474 91798 127743 134211 137697 144254 216381 255486 268422 275394 321293 432762 504889 642586 963879 1009778 1514667 1927758 3029334 3534223 7068446 10602669 21205338