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21244314 = 2371324173
BaseRepresentation
bin101000100001…
…0100110011010
31110222022201110
41101002212122
520414304224
62035201150
7345400530
oct121024632
943868643
1021244314
1110aa0193
1271461b6
13452a900
142b70150
151ce9929
hex144299a

21244314 has 96 divisors (see below), whose sum is σ = 54601344. Its totient is φ = 5391360.

The previous prime is 21244309. The next prime is 21244367. The reversal of 21244314 is 41344212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290982 + ... + 291054.

It is an arithmetic number, because the mean of its divisors is an integer number (568764).

Almost surely, 221244314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21244314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27300672).

21244314 is an abundant number, since it is smaller than the sum of its proper divisors (33357030).

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

21244314 is a wasteful number, since it uses less digits than its factorization.

21244314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 21244314 is about 4609.1554540935. The cubic root of 21244314 is about 276.9582059305.

Adding to 21244314 its reverse (41344212), we get a palindrome (62588526).

The spelling of 21244314 in words is "twenty-one million, two hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 73 78 82 91 123 146 169 182 219 246 273 287 338 438 507 511 533 546 574 861 949 1014 1022 1066 1183 1533 1599 1722 1898 2366 2847 2993 3066 3198 3549 3731 5694 5986 6643 6929 7098 7462 8979 11193 12337 13286 13858 17958 19929 20787 20951 22386 24674 37011 38909 39858 41574 41902 48503 62853 74022 77818 86359 97006 116727 125706 145509 172718 233454 259077 272363 291018 505817 518154 544726 817089 1011634 1517451 1634178 3034902 3540719 7081438 10622157 21244314