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4223310133224 = 23371319101776319
BaseRepresentation
bin111101011101010000111…
…001100111011111101000
3112221202002202002211211010
4331131100321213133220
51023143314343230344
612552054545103520
7614060363552160
oct75352071473750
915852082084733
104223310133224
111389106517986
1258260a027ba0
13248344511c40
141085a319d5a0
1574cd0aa08b9
hex3d750e677e8

4223310133224 has 128 divisors (see below), whose sum is σ = 13678737408000. Its totient is φ = 1055216865024.

The previous prime is 4223310133201. The next prime is 4223310133271.

It is a happy number.

4223310133224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4223310133191 and 4223310133200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50846664 + ... + 50929655.

It is an arithmetic number, because the mean of its divisors is an integer number (106865136000).

Almost surely, 24223310133224 is an apocalyptic number.

It is an amenable number.

4223310133224 is an abundant number, since it is smaller than the sum of its proper divisors (9455427274776).

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

4223310133224 is a wasteful number, since it uses less digits than its factorization.

4223310133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101776367 (or 101776363 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4223310 and 133224, that added together give a palindrome (4356534).

The spelling of 4223310133224 in words is "four trillion, two hundred twenty-three billion, three hundred ten million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 101776319 203552638 305328957 407105276 610657914 712434233 814210552 1221315828 1323092147 1424868466 1933750061 2137302699 2442631656 2646184294 2849736932 3867500122 3969276441 4274605398 5292368588 5699473864 5801250183 7735000244 7938552882 8549210796 9261645029 10584737176 11602500366 13536250427 15470000488 15877105764 17098421592 18523290058 23205000732 25138750793 27072500854 27784935087 31754211528 37046580116 40608751281 46410001464 50277501586 54145001708 55569870174 74093160232 75416252379 81217502562 100555003172 108290003416 111139740348 150832504758 162435005124 175971255551 201110006344 222279480696 301665009516 324870010248 351942511102 527913766653 603330019032 703885022204 1055827533306 1407770044408 2111655066612 4223310133224