Search a number
-
+
214443222112 = 2572718092381
BaseRepresentation
bin1100011110110111001…
…1111110010001100000
3202111111220202101111201
43013231303332101200
512003134431101422
6242302554250544
721331050212200
oct3075563762140
9674456671451
10214443222112
1182a436767a9
1235688726a54
13172b66c3952
14a5443b0400
1558a1457727
hex31edcfe460

214443222112 has 144 divisors (see below), whose sum is σ = 498855399840. Its totient is φ = 90459801600.

The previous prime is 214443222061. The next prime is 214443222151. The reversal of 214443222112 is 211222344412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90063162 + ... + 90065542.

It is an arithmetic number, because the mean of its divisors is an integer number (3464273610).

Almost surely, 2214443222112 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 214443222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249427699920).

214443222112 is an abundant number, since it is smaller than the sum of its proper divisors (284412177728).

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

214443222112 is a wasteful number, since it uses less digits than its factorization.

214443222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3270 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 214443222112 its reverse (211222344412), we get a palindrome (425665566524).

The spelling of 214443222112 in words is "two hundred fourteen billion, four hundred forty-three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 71 98 112 142 196 224 284 392 497 568 784 809 994 1136 1568 1618 1988 2272 2381 3236 3479 3976 4762 5663 6472 6958 7952 9524 11326 12944 13916 15904 16667 19048 22652 25888 27832 33334 38096 39641 45304 55664 57439 66668 76192 79282 90608 111328 114878 116669 133336 158564 169051 181216 229756 233338 266672 317128 338102 402073 459512 466676 533344 634256 676204 804146 919024 933352 1183357 1268512 1352408 1608292 1838048 1866704 1926229 2366714 2704816 2814511 3216584 3733408 3852458 4733428 5409632 5629022 6433168 7704916 8283499 9466856 11258044 12866336 13483603 15409832 16566998 18933712 22516088 26967206 30819664 33133996 37867424 45032176 53934412 61639328 66267992 90064352 94385221 107868824 132535984 136762259 188770442 215737648 265071968 273524518 377540884 431475296 547049036 755081768 957335813 1094098072 1510163536 1914671626 2188196144 3020327072 3829343252 4376392288 6701350691 7658686504 13402701382 15317373008 26805402764 30634746016 53610805528 107221611056 214443222112