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2325848960 = 2753739743
BaseRepresentation
bin1000101010100001…
…1010001110000000
320000002111100222002
42022220122032000
514230404131320
61022443003132
7111431250521
oct21250321600
96002440862
102325848960
11a93976826
1254ab094a8
132b0b258b6
14180c7a848
15d92ca675
hex8aa1a380

2325848960 has 64 divisors (see below), whose sum is σ = 5575711680. Its totient is φ = 927750144.

The previous prime is 2325848953. The next prime is 2325848969. The reversal of 2325848960 is 698485232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325848969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 233849 + ... + 243591.

It is an arithmetic number, because the mean of its divisors is an integer number (87120495).

Almost surely, 22325848960 is an apocalyptic number.

2325848960 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 2325848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787855840).

2325848960 is an abundant number, since it is smaller than the sum of its proper divisors (3249862720).

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

2325848960 is an equidigital number, since it uses as much as digits as its factorization.

2325848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 2325848960 is about 48227.0563066003. The cubic root of 2325848960 is about 1324.9327527281.

The spelling of 2325848960 in words is "two billion, three hundred twenty-five million, eight hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 373 640 746 1492 1865 2984 3730 5968 7460 9743 11936 14920 19486 23872 29840 38972 47744 48715 59680 77944 97430 119360 155888 194860 238720 311776 389720 623552 779440 1247104 1558880 3117760 3634139 6235520 7268278 14536556 18170695 29073112 36341390 58146224 72682780 116292448 145365560 232584896 290731120 465169792 581462240 1162924480 2325848960