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2221214400444 = 22313219331174157
BaseRepresentation
bin100000010100101010101…
…100011111111110111100
321212100100020202201221110
4200110222230133332330
5242343021341303234
64420224541202020
7316322522612034
oct40245254377674
97770306681843
102221214400444
11787014693036
122ba5a0260310
131315c8a25100
14797162548c4
153cba3b001e9
hex2052ab1ffbc

2221214400444 has 144 divisors (see below), whose sum is σ = 5925440330880. Its totient is φ = 645519663360.

The previous prime is 2221214400443. The next prime is 2221214400479. The reversal of 2221214400444 is 4440044121222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221214400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12667014 + ... + 12841170.

Almost surely, 22221214400444 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 2221214400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962720165440).

2221214400444 is an abundant number, since it is smaller than the sum of its proper divisors (3704225930436).

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

2221214400444 is a wasteful number, since it uses less digits than its factorization.

2221214400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174540 (or 174525 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2221214400444 its reverse (4440044121222), we get a palindrome (6661258521666).

The spelling of 2221214400444 in words is "two trillion, two hundred twenty-one billion, two hundred fourteen million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 331 338 494 507 662 676 741 988 993 1014 1324 1482 1986 2028 2964 3211 3972 4303 6289 6422 8606 9633 12578 12844 12909 17212 18867 19266 25156 25818 37734 38532 51636 55939 75468 81757 111878 163514 167817 174157 223756 245271 327028 335634 348314 490542 522471 671268 696628 981084 1044942 1062841 2089884 2125682 2264041 3188523 3308983 4251364 4528082 6377046 6617966 6792123 9056164 9926949 12754092 13235932 13584246 19853898 27168492 29432533 39707796 43016779 57645967 58865066 86033558 88297599 115291934 117730132 129050337 172067116 172937901 176595198 230583868 258100674 345875802 353190396 516201348 559218127 691751604 749397571 1095273373 1118436254 1498795142 1677654381 2190546746 2236872508 2248192713 2997590284 3285820119 3355308762 4381093492 4496385426 6571640238 6710617524 8992770852 9742168423 13143280476 14238553849 19484336846 28477107698 29226505269 38968673692 42715661547 56954215396 58453010538 85431323094 116906021076 170862646188 185101200037 370202400074 555303600111 740404800148 1110607200222 2221214400444