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21221214 = 23721929131
BaseRepresentation
bin101000011110…
…0111101011110
31110221011000220
41100330331132
520413034324
62034502210
7345243300
oct120747536
943834026
1021221214
1110a848a3
127134966
134520241
142b65970
151ce2b79
hex143cf5e

21221214 has 96 divisors (see below), whose sum is σ = 54172800. Its totient is φ = 5503680.

The previous prime is 21221171. The next prime is 21221237. The reversal of 21221214 is 41212212.

It is a junction number, because it is equal to n+sod(n) for n = 21221193 and 21221202.

It is a congruent 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, 161929 + ... + 162059.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 221221214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27086400).

21221214 is an abundant number, since it is smaller than the sum of its proper divisors (32951586).

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

21221214 is a wasteful number, since it uses less digits than its factorization.

21221214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 21221214 is about 4606.6488904626. The cubic root of 21221214 is about 276.8577860438.

Adding to 21221214 its reverse (41212212), we get a palindrome (62433426).

It can be divided in two parts, 212212 and 14, that added together give a triangular number (212226 = T651).

The spelling of 21221214 in words is "twenty-one million, two hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 49 57 58 87 98 114 131 133 147 174 203 262 266 294 393 399 406 551 609 786 798 917 931 1102 1218 1421 1653 1834 1862 2489 2751 2793 2842 3306 3799 3857 4263 4978 5502 5586 6419 7467 7598 7714 8526 11397 11571 12838 14934 17423 19257 22794 23142 26593 26999 34846 38514 52269 53186 53998 72181 79779 80997 104538 121961 144362 159558 161994 186151 216543 243922 365883 372302 433086 505267 558453 731766 1010534 1116906 1515801 3031602 3536869 7073738 10610607 21221214