Search a number
-
+
2326124556 = 22327311312273
BaseRepresentation
bin1000101010100101…
…1101100000001100
320000010000101000100
42022221131200030
514230441441211
61022452531100
7111433506150
oct21251354014
96003011010
102326124556
11a94044898
1254b020a90
132b0bc1182
14180d0d060
15d9332156
hex8aa5d80c

2326124556 has 144 divisors (see below), whose sum is σ = 6992713728. Its totient is φ = 637977600.

The previous prime is 2326124543. The next prime is 2326124561. The reversal of 2326124556 is 6554216232.

2326124556 is a `hidden beast` number, since 2 + 32 + 612 + 4 + 5 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2326124556.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1022236 + ... + 1024508.

It is an arithmetic number, because the mean of its divisors is an integer number (48560512).

Almost surely, 22326124556 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 2326124556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496356864).

2326124556 is an abundant number, since it is smaller than the sum of its proper divisors (4666589172).

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

2326124556 is a wasteful number, since it uses less digits than its factorization.

2326124556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2447 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2326124556 is about 48229.9134977454. The cubic root of 2326124556 is about 1324.9850822576.

The spelling of 2326124556 in words is "two billion, three hundred twenty-six million, one hundred twenty-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 131 186 217 252 262 279 372 393 434 524 558 651 786 868 917 1116 1179 1302 1572 1834 1953 2273 2358 2604 2751 3668 3906 4061 4546 4716 5502 6819 7812 8122 8253 9092 11004 12183 13638 15911 16244 16506 20457 24366 27276 28427 31822 33012 36549 40914 47733 48732 56854 63644 70463 73098 81828 85281 95466 113708 140926 143199 146196 170562 190932 211389 255843 281852 286398 297763 341124 422778 493241 511686 572796 595526 634167 845556 893289 986482 1023372 1191052 1268334 1479723 1786578 1972964 2084341 2536668 2679867 2959446 3573156 4168682 4439169 5359734 5918892 6253023 8337364 8878338 9230653 10719468 12506046 17756676 18461306 18759069 25012092 27691959 36922612 37518138 55383918 64614571 75036276 83075877 110767836 129229142 166151754 193843713 258458284 332303508 387687426 581531139 775374852 1163062278 2326124556