Search a number
-
+
2322320004 = 2233592811297
BaseRepresentation
bin1000101001101011…
…1100101010000100
312222211212002011000
42022122330222010
514224003220004
61022235213300
7111356252154
oct21232745204
95884762130
102322320004
11a91986434
125498a7230
132b018b564
141805dc764
15d8d2ec39
hex8a6bca84

2322320004 has 96 divisors (see below), whose sum is σ = 6149404800. Its totient is φ = 757693440.

The previous prime is 2322319999. The next prime is 2322320023. The reversal of 2322320004 is 4000232232.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1789884 + ... + 1791180.

It is an arithmetic number, because the mean of its divisors is an integer number (64056300).

Almost surely, 22322320004 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 2322320004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074702400).

2322320004 is an abundant number, since it is smaller than the sum of its proper divisors (3827084796).

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

2322320004 is a wasteful number, since it uses less digits than its factorization.

2322320004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2322320004 is about 48190.4555280400. The cubic root of 2322320004 is about 1324.2623170858.

Adding to 2322320004 its reverse (4000232232), we get a palindrome (6322552236).

The spelling of 2322320004 in words is "two billion, three hundred twenty-two million, three hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 281 354 531 562 708 843 1062 1124 1297 1593 1686 2124 2529 2594 3186 3372 3891 5058 5188 6372 7587 7782 10116 11673 15174 15564 16579 23346 30348 33158 35019 46692 49737 66316 70038 76523 99474 140076 149211 153046 198948 229569 298422 306092 364457 447633 459138 596844 688707 728914 895266 918276 1093371 1377414 1457828 1790532 2066121 2186742 2754828 3280113 4132242 4373484 6560226 8264484 9840339 13120452 19680678 21502963 39361356 43005926 64508889 86011852 129017778 193526667 258035556 387053334 580580001 774106668 1161160002 2322320004