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12214442430 = 23252941114143
BaseRepresentation
bin10110110000000100…
…11001100110111110
31011112020121222001200
423120002121212332
5200003344124210
65340005520330
7611454022221
oct133002314676
934466558050
1012214442430
1151a8809423
12244a7130a6
1311c8707738
1483c2bd5b8
154b74ce0c0
hex2d80999be

12214442430 has 96 divisors (see below), whose sum is σ = 33654216960. Its totient is φ = 3068136960.

The previous prime is 12214442423. The next prime is 12214442447. The reversal of 12214442430 is 3424441221.

12214442430 is a `hidden beast` number, since 1 + 2 + 214 + 442 + 4 + 3 + 0 = 666.

12214442430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12214442394 and 12214442403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49939 + ... + 164081.

It is an arithmetic number, because the mean of its divisors is an integer number (350564760).

Almost surely, 212214442430 is an apocalyptic number.

12214442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12214442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16827108480).

12214442430 is an abundant number, since it is smaller than the sum of its proper divisors (21439774530).

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

12214442430 is a wasteful number, since it uses less digits than its factorization.

12214442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114226 (or 114223 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12214442430 its reverse (3424441221), we get a palindrome (15638883651).

The spelling of 12214442430 in words is "twelve billion, two hundred fourteen million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 41 45 58 82 87 90 123 145 174 205 246 261 290 369 410 435 522 615 738 870 1189 1230 1305 1845 2378 2610 3567 3690 5945 7134 10701 11890 17835 21402 35670 53505 107010 114143 228286 342429 570715 684858 1027287 1141430 1712145 2054574 3310147 3424290 4679863 5136435 6620294 9359726 9930441 10272870 14039589 16550735 19860882 23399315 28079178 29791323 33101470 42118767 46798630 49652205 59582646 70197945 84237534 99304410 135716027 140395890 148956615 210593835 271432054 297913230 407148081 421187670 678580135 814296162 1221444243 1357160270 2035740405 2442888486 4071480810 6107221215 12214442430