Search a number
-
+
2325032000 = 26531631783
BaseRepresentation
bin1000101010010101…
…0010110001000000
320000000221212022022
42022211102301000
514230202011000
61022413301012
7111421305644
oct21245226100
96000855268
102325032000
11a93468a55
1254a794768
132b08caaa5
14180b06c24
15d91b8585
hex8a952c40

2325032000 has 112 divisors (see below), whose sum is σ = 5796515712. Its totient is φ = 923788800.

The previous prime is 2325031987. The next prime is 2325032089. The reversal of 2325032000 is 2305232.

It is a self number, because there is not a number n which added to its sum of digits gives 2325032000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303109 + ... + 1304891.

Almost surely, 22325032000 is an apocalyptic number.

2325032000 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 2325032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898257856).

2325032000 is an abundant number, since it is smaller than the sum of its proper divisors (3471483712).

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

2325032000 is a wasteful number, since it uses less digits than its factorization.

2325032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 2325032000 is about 48218.5856283653. The cubic root of 2325032000 is about 1324.7776059639. Note that the first 3 decimals are identical.

Adding to 2325032000 its reverse (2305232), we get a palindrome (2327337232).

The spelling of 2325032000 in words is "two billion, three hundred twenty-five million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 163 200 250 320 326 400 500 652 800 815 1000 1304 1600 1630 1783 2000 2608 3260 3566 4000 4075 5216 6520 7132 8000 8150 8915 10432 13040 14264 16300 17830 20375 26080 28528 32600 35660 40750 44575 52160 57056 65200 71320 81500 89150 114112 130400 142640 163000 178300 222875 260800 285280 290629 326000 356600 445750 570560 581258 652000 713200 891500 1162516 1304000 1426400 1453145 1783000 2325032 2852800 2906290 3566000 4650064 5812580 7132000 7265725 9300128 11625160 14264000 14531450 18600256 23250320 29062900 36328625 46500640 58125800 72657250 93001280 116251600 145314500 232503200 290629000 465006400 581258000 1162516000 2325032000