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2224114040050 = 2527217531007549
BaseRepresentation
bin100000010111010111100…
…001101111110011110010
321212121211022221200200221
4200113113201233303302
5242414441143240200
64421424402403254
7316454422261600
oct40272741576362
97777738850627
102224114040050
11788272436201
122bb06b36052a
1313196b69aaa6
147990d3b4870
153ccc346c91a
hex205d786fcf2

2224114040050 has 144 divisors (see below), whose sum is σ = 5191473918600. Its totient is φ = 704155146240.

The previous prime is 2224114039991. The next prime is 2224114040089. The reversal of 2224114040050 is 500404114222.

It can be written as a sum of positive squares in 12 ways, for example, as 443520036729 + 1780594003321 = 665973^2 + 1334389^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a junction number, because it is equal to n+sod(n) for n = 2224114039997 and 2224114040024.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1703676 + ... + 2711224.

Almost surely, 22224114040050 is an apocalyptic number.

2224114040050 is an abundant number, since it is smaller than the sum of its proper divisors (2967359878550).

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

2224114040050 is a wasteful number, since it uses less digits than its factorization.

2224114040050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007645 (or 1007633 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2224114040050 its reverse (500404114222), we get a palindrome (2724518154272).

The spelling of 2224114040050 in words is "two trillion, two hundred twenty-four billion, one hundred fourteen million, forty thousand, fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 49 50 53 70 85 98 106 119 170 175 238 245 265 350 371 425 490 530 595 742 833 850 901 1190 1225 1325 1666 1802 1855 2450 2597 2650 2975 3710 4165 4505 5194 5950 6307 8330 9010 9275 12614 12985 18550 20825 22525 25970 31535 41650 44149 45050 63070 64925 88298 129850 157675 220745 315350 441490 1007549 1103725 2015098 2207450 5037745 7052843 10075490 14105686 17128333 25188725 34256666 35264215 49369901 50377450 53400097 70528430 85641665 98739802 106800194 119898331 171283330 176321075 239796662 246849505 267000485 352642150 373800679 428208325 493699010 534000970 599491655 747601358 839288317 856416650 907801649 1198983310 1234247525 1335002425 1678576634 1815603298 1869003395 2468495050 2616604753 2670004850 2997458275 3738006790 4196441585 4539008245 5233209506 5994916550 6354611543 8392883170 9078016490 9345016975 12709223086 13083023765 18690033950 20982207925 22695041225 26166047530 31773057715 41964415850 44482280801 45390082450 63546115430 65415118825 88964561602 130830237650 158865288575 222411404005 317730577150 444822808010 1112057020025 2224114040050