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2222214421120 = 27517732797913
BaseRepresentation
bin100000010101100110010…
…011010001101010000000
321212102220221111001102021
4200111212103101222000
5242402043342433440
64420512103131224
7316356354630151
oct40254623215200
97772827431367
102222214421120
11787488120401
122ba81b143b14
13131727c6b815
14797acda9928
153cc117d784a
hex205664d1a80

2222214421120 has 128 divisors (see below), whose sum is σ = 5702036815440. Its totient is φ = 825137823744.

The previous prime is 2222214421093. The next prime is 2222214421169. The reversal of 2222214421120 is 211244122222.

It can be written as a sum of positive squares in 8 ways, for example, as 558176340544 + 1664038080576 = 747112^2 + 1289976^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604717 + ... + 2193196.

Almost surely, 22222214421120 is an apocalyptic number.

2222214421120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222214421120 is an abundant number, since it is smaller than the sum of its proper divisors (3479822394320).

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

2222214421120 is a wasteful number, since it uses less digits than its factorization.

2222214421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798022 (or 2798010 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 2222214421120 its reverse (211244122222), we get a palindrome (2433458543342).

The spelling of 2222214421120 in words is "two trillion, two hundred twenty-two billion, two hundred fourteen million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 73 80 85 128 136 146 160 170 272 292 320 340 365 544 584 640 680 730 1088 1168 1241 1360 1460 2176 2336 2482 2720 2920 4672 4964 5440 5840 6205 9344 9928 10880 11680 12410 19856 23360 24820 39712 46720 49640 79424 99280 158848 198560 397120 794240 2797913 5595826 11191652 13989565 22383304 27979130 44766608 47564521 55958260 89533216 95129042 111916520 179066432 190258084 204247649 223833040 237822605 358132864 380516168 408495298 447666080 475645210 761032336 816990596 895332160 951290420 1021238245 1522064672 1633981192 1790664320 1902580840 2042476490 3044129344 3267962384 3472210033 3805161680 4084952980 6088258688 6535924768 6944420066 7610323360 8169905960 13071849536 13888840132 15220646720 16339811920 17361050165 26143699072 27777680264 30441293440 32679623840 34722100330 55555360528 65359247680 69444200660 111110721056 130718495360 138888401320 222221442112 277776802640 444442884224 555553605280 1111107210560 2222214421120