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2325004920 = 233257319991
BaseRepresentation
bin1000101010010100…
…1100001001111000
320000000220111011100
42022211030021320
514230200124140
61022412531400
7111421134000
oct21245141170
96000814140
102325004920
11a9344a677
1254a780b60
132b08bb674
14180adb000
15d91b0530
hex8a94c278

2325004920 has 384 divisors, whose sum is σ = 9285120000. Its totient is φ = 502951680.

The previous prime is 2325004897. The next prime is 2325004937. The reversal of 2325004920 is 294005232.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2345625 + ... + 2346615.

It is an arithmetic number, because the mean of its divisors is an integer number (24180000).

Almost surely, 22325004920 is an apocalyptic number.

2325004920 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 2325004920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560000).

2325004920 is an abundant number, since it is smaller than the sum of its proper divisors (6960115080).

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

2325004920 is a wasteful number, since it uses less digits than its factorization.

2325004920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2325004920 is about 48218.3048229612. The cubic root of 2325004920 is about 1324.7724626487.

The spelling of 2325004920 in words is "two billion, three hundred twenty-five million, four thousand, nine hundred twenty".