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2214120324 = 2231317267733
BaseRepresentation
bin1000001111111000…
…1100101110000100
312201022020222002110
42003332030232010
514013303322244
61003412141020
7105603466203
oct20376145604
95638228073
102214120324
11a368a4409
12519607770
13293936790
141700b523a
15ce5aa9b9
hex83f8cb84

2214120324 has 144 divisors (see below), whose sum is σ = 6006609728. Its totient is φ = 630761472.

The previous prime is 2214120313. The next prime is 2214120343. The reversal of 2214120324 is 4230214122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214120324.

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, 3020262 + ... + 3020994.

Almost surely, 22214120324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214120324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003304864).

2214120324 is an abundant number, since it is smaller than the sum of its proper divisors (3792489404).

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

2214120324 is a wasteful number, since it uses less digits than its factorization.

2214120324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 835 counting only the distinct ones).

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

The square root of 2214120324 is about 47054.4400030433. The cubic root of 2214120324 is about 1303.3680562058.

Adding to 2214120324 its reverse (4230214122), we get a palindrome (6444334446).

The spelling of 2214120324 in words is "two billion, two hundred fourteen million, one hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 67 68 78 102 134 156 201 204 221 268 289 402 442 578 663 733 804 867 871 884 1139 1156 1326 1466 1734 1742 2199 2278 2613 2652 2932 3417 3468 3484 3757 4398 4556 5226 6834 7514 8796 9529 10452 11271 12461 13668 14807 15028 19058 19363 22542 24922 28587 29614 37383 38116 38726 44421 45084 49111 49844 57174 58089 59228 74766 77452 88842 98222 114348 116178 147333 149532 161993 177684 196444 211837 232356 251719 294666 323986 423674 485979 503438 589332 635511 638443 647972 755157 834887 847348 971958 1006876 1271022 1276886 1510314 1669774 1915329 1943916 2504661 2542044 2553772 2753881 3020628 3339548 3830658 5009322 5507762 7661316 8261643 10018644 10853531 11015524 14193079 16523286 21707062 28386158 32560593 33046572 42579237 43414124 56772316 65121186 85158474 130242372 170316948 184510027 369020054 553530081 738040108 1107060162 2214120324