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801244224 = 26341114051
BaseRepresentation
bin101111110000100…
…000010001000000
32001211200102110000
4233300200101000
53120104303344
6211301240000
725566314664
oct5760402100
92054612400
10801244224
11381310710
121a4403000
13c9cca311
14785b08a4
154a520a69
hex2fc20440

801244224 has 140 divisors (see below), whose sum is σ = 2591245008. Its totient is φ = 242784000.

The previous prime is 801244217. The next prime is 801244271. The reversal of 801244224 is 422442108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49999 + ... + 64049.

Almost surely, 2801244224 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 801244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295622504).

801244224 is an abundant number, since it is smaller than the sum of its proper divisors (1790000784).

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

801244224 is a wasteful number, since it uses less digits than its factorization.

801244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 801244224 is about 28306.2576827104. The cubic root of 801244224 is about 928.7987821229.

It can be divided in two parts, 80124 and 4224, that added together give a palindrome (84348).

The spelling of 801244224 in words is "eight hundred one million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14051 14256 19008 28102 28512 42153 56204 57024 84306 112408 126459 154561 168612 224816 252918 309122 337224 379377 449632 463683 505836 618244 674448 758754 899264 927366 1011672 1138131 1236488 1348896 1391049 1517508 1854732 2023344 2276262 2472976 2697792 2782098 3035016 3709464 4046688 4173147 4552524 4945952 5564196 6070032 7418928 8093376 8346294 9105048 9891904 11128392 12140064 12519441 14837856 16692588 18210096 22256784 24280128 25038882 29675712 33385176 36420192 44513568 50077764 66770352 72840384 89027136 100155528 133540704 200311056 267081408 400622112 801244224