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22313214 = 23271117947
BaseRepresentation
bin101010100011…
…1100011111110
31112222121222100
41111013203332
521203010324
62114125530
7360442050
oct125074376
945877870
1022313214
1111660280
1275808a6
1348132b1
142d6b8d0
151e5b4c9
hex15478fe

22313214 has 96 divisors (see below), whose sum is σ = 63887616. Its totient is φ = 5448960.

The previous prime is 22313191. The next prime is 22313219. The reversal of 22313214 is 41231322.

It is a super-3 number, since 3×223132143 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23089 + ... + 24035.

It is an arithmetic number, because the mean of its divisors is an integer number (665496).

Almost surely, 222313214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31943808).

22313214 is an abundant number, since it is smaller than the sum of its proper divisors (41574402).

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

22313214 is a wasteful number, since it uses less digits than its factorization.

22313214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22313214 is about 4723.6864840927. The cubic root of 22313214 is about 281.5274264034.

Adding to 22313214 its reverse (41231322), we get a palindrome (63544536).

It can be divided in two parts, 2231 and 3214, that added together give a palindrome (5445).

The spelling of 22313214 in words is "twenty-two million, three hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 947 1071 1122 1309 1386 1683 1894 2142 2618 2841 3366 3927 5682 6629 7854 8523 10417 11781 13258 16099 17046 19887 20834 23562 31251 32198 39774 48297 59661 62502 72919 93753 96594 112693 119322 144891 145838 177089 187506 218757 225386 289782 338079 354178 437514 531267 656271 676158 1014237 1062534 1239623 1312542 1593801 2028474 2479246 3187602 3718869 7437738 11156607 22313214