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2333228328 = 233441531657
BaseRepresentation
bin1000101100010010…
…0011110100101000
320000121101021120000
42023010203310220
514234301301303
61023305103000
7111551053644
oct21304436450
96017337500
102333228328
11a98056a82
12551487a60
132b250a6a2
14181c3bc24
15d9c86da3
hex8b123d28

2333228328 has 160 divisors (see below), whose sum is σ = 6825024360. Its totient is φ = 744007680.

The previous prime is 2333228327. The next prime is 2333228333. The reversal of 2333228328 is 8238223332.

2333228328 is a `hidden beast` number, since 2 + 3 + 3 + 322 + 8 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1471336164 + 861892164 = 38358^2 + 29358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2333228292 and 2333228301.

It is not an unprimeable number, because it can be changed into a prime (2333228327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1407276 + ... + 1408932.

Almost surely, 22333228328 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 2333228328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412512180).

2333228328 is an abundant number, since it is smaller than the sum of its proper divisors (4491796032).

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

2333228328 is a wasteful number, since it uses less digits than its factorization.

2333228328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1756 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2333228328 is about 48303.5022332750. The cubic root of 2333228328 is about 1326.3325060371.

The spelling of 2333228328 in words is "two billion, three hundred thirty-three million, two hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 53 54 72 81 82 106 108 123 159 162 164 212 216 246 318 324 328 369 424 477 492 636 648 738 954 984 1107 1272 1431 1476 1657 1908 2173 2214 2862 2952 3314 3321 3816 4293 4346 4428 4971 5724 6519 6628 6642 8586 8692 8856 9942 11448 13038 13256 13284 14913 17172 17384 19557 19884 26076 26568 29826 34344 39114 39768 44739 52152 58671 59652 67937 78228 87821 89478 117342 119304 134217 135874 156456 175642 176013 178956 203811 234684 263463 268434 271748 351284 352026 357912 407622 469368 526926 536868 543496 611433 702568 704052 790389 815244 1053852 1073736 1222866 1408104 1580778 1630488 1834299 2107704 2371167 2445732 3161556 3600661 3668598 4742334 4891464 5502897 6323112 7113501 7201322 7337196 9484668 10801983 11005794 14227002 14402644 14674392 18969336 21603966 22011588 28454004 28805288 32405949 43207932 44023176 56908008 64811898 86415864 97217847 129623796 194435694 259247592 291653541 388871388 583307082 777742776 1166614164 2333228328