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2325640680 = 2333511195761
BaseRepresentation
bin1000101010011110…
…0111010111101000
320000002002210021000
42022213213113220
514230331000210
61022434315000
7111426422346
oct21247472750
96002083230
102325640680
11a938442a0
1254aa28a60
132b0a81b5c
14180c24996
15d9288ac0
hex8a9e75e8

2325640680 has 128 divisors (see below), whose sum is σ = 8456918400. Its totient is φ = 563788800.

The previous prime is 2325640673. The next prime is 2325640687. The reversal of 2325640680 is 860465232.

2325640680 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 640 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2325640673) and next prime (2325640687).

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

It is not an unprimeable number, because it can be changed into a prime (2325640687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86001 + ... + 109760.

It is an arithmetic number, because the mean of its divisors is an integer number (66069675).

Almost surely, 22325640680 is an apocalyptic number.

2325640680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2325640680 is an abundant number, since it is smaller than the sum of its proper divisors (6131277720).

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

2325640680 is a wasteful number, since it uses less digits than its factorization.

2325640680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195792 (or 195782 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2325640680 is about 48224.8968894699. The cubic root of 2325640680 is about 1324.8932022619.

It can be divided in two parts, 23256 and 40680, that added together give a palindrome (63936).

The spelling of 2325640680 in words is "two billion, three hundred twenty-five million, six hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 195761 391522 587283 783044 978805 1174566 1566088 1761849 1957610 2153371 2349132 2936415 3523698 3915220 4306742 4698264 5285547 5872830 6460113 7047396 7830440 8613484 8809245 10571094 10766855 11745660 12920226 14094792 17226968 17618490 19380339 21142188 21533710 23491320 25840452 26427735 32300565 35236980 38760678 42284376 43067420 51680904 52855470 58141017 64601130 70473960 77521356 86134840 96901695 105710940 116282034 129202260 155042712 193803390 211421880 232564068 258404520 290705085 387606780 465128136 581410170 775213560 1162820340 2325640680