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2325032640 = 263357371039
BaseRepresentation
bin1000101010010101…
…0010111011000000
320000000221220012000
42022211102323000
514230202021030
61022413304000
7111421310550
oct21245227300
96000856160
102325032640
11a93469487
1254a795000
132b08cb178
14180b07160
15d91b8860
hex8a952ec0

2325032640 has 448 divisors, whose sum is σ = 9636556800. Its totient is φ = 516575232.

The previous prime is 2325032599. The next prime is 2325032651. The reversal of 2325032640 is 462305232.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 2237241 + ... + 2238279.

Almost surely, 22325032640 is an apocalyptic number.

2325032640 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 2325032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818278400).

2325032640 is an abundant number, since it is smaller than the sum of its proper divisors (7311524160).

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

2325032640 is a wasteful number, since it uses less digits than its factorization.

2325032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2325032640 is about 48218.5922648101. The cubic root of 2325032640 is about 1324.7777275189. Note that the first 4 decimals are identical.

Adding to 2325032640 its reverse (462305232), we get a palindrome (2787337872).

The spelling of 2325032640 in words is "two billion, three hundred twenty-five million, thirty-two thousand, six hundred forty".