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2325640020 = 2235119293793
BaseRepresentation
bin1000101010011110…
…0111001101010100
320000002002202100120
42022213213031110
514230330440040
61022434311540
7111426420414
oct21247471524
96002082316
102325640020
11a93843850
1254aa285b0
132b0a81772
14180c24644
15d92887d0
hex8a9e7354

2325640020 has 96 divisors (see below), whose sum is σ = 7113294720. Its totient is φ = 563036160.

The previous prime is 2325639989. The next prime is 2325640027. The reversal of 2325640020 is 200465232.

2325640020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325640027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611244 + ... + 615036.

It is an arithmetic number, because the mean of its divisors is an integer number (74096820).

Almost surely, 22325640020 is an apocalyptic number.

2325640020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556647360).

2325640020 is an abundant number, since it is smaller than the sum of its proper divisors (4787654700).

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

2325640020 is a wasteful number, since it uses less digits than its factorization.

2325640020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2325640020 is about 48224.8900465310. The cubic root of 2325640020 is about 1324.8930769302.

The spelling of 2325640020 in words is "two billion, three hundred twenty-five million, six hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 929 1858 2787 3716 3793 4645 5574 7586 9290 10219 11148 11379 13935 15172 18580 18965 20438 22758 27870 30657 37930 40876 41723 45516 51095 55740 56895 61314 75860 83446 102190 113790 122628 125169 153285 166892 204380 208615 227580 250338 306570 417230 500676 613140 625845 834460 1251690 2503380 3523697 7047394 10571091 14094788 17618485 21142182 35236970 38760667 42284364 52855455 70473940 77521334 105710910 116282001 155042668 193803335 211421820 232564002 387606670 465128004 581410005 775213340 1162820010 2325640020