Search a number
-
+
21214336 = 2711131961
BaseRepresentation
bin101000011101…
…1010010000000
31110220210121011
41100323102000
520412324321
62034410304
7345214243
oct120732200
943823534
1021214336
1110a7a710
127130994
13451a080
142b6325a
151ce0ae1
hex143b480

21214336 has 128 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 8294400.

The previous prime is 21214327. The next prime is 21214373. The reversal of 21214336 is 63341212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347746 + ... + 347806.

Almost surely, 221214336 is an apocalyptic number.

21214336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

21214336 is an abundant number, since it is smaller than the sum of its proper divisors (31907264).

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

21214336 is a wasteful number, since it uses less digits than its factorization.

21214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 21214336 is about 4605.9023003099. The cubic root of 21214336 is about 276.8278720528.

Adding to 21214336 its reverse (63341212), we get a palindrome (84555548).

The spelling of 21214336 in words is "twenty-one million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 61 64 76 88 104 122 128 143 152 176 208 209 244 247 286 304 352 416 418 488 494 572 608 671 704 793 832 836 976 988 1144 1159 1216 1342 1408 1586 1664 1672 1952 1976 2288 2318 2432 2684 2717 3172 3344 3904 3952 4576 4636 5368 5434 6344 6688 7808 7904 8723 9152 9272 10736 10868 12688 12749 13376 15067 15808 17446 18304 18544 21472 21736 25376 25498 26752 30134 31616 34892 37088 42944 43472 50752 50996 60268 69784 74176 85888 86944 101504 101992 120536 139568 148352 165737 173888 203984 241072 279136 331474 347776 407968 482144 558272 662948 815936 964288 1116544 1325896 1631872 1928576 2651792 5303584 10607168 21214336