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2325840000 = 2735411881
BaseRepresentation
bin1000101010100001…
…1000000010000000
320000002110220200020
42022220120002000
514230403340000
61022442453440
7111431212431
oct21250300200
96002426606
102325840000
11a93970020
1254ab04280
132b0b217b3
14180c77488
15d92c7ba0
hex8aa18080

2325840000 has 320 divisors, whose sum is σ = 8431426080. Its totient is φ = 563200000.

The previous prime is 2325839993. The next prime is 2325840001. The reversal of 2325840000 is 485232.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2325840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2639560 + ... + 2640440.

Almost surely, 22325840000 is an apocalyptic number.

2325840000 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 2325840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215713040).

2325840000 is an abundant number, since it is smaller than the sum of its proper divisors (6105586080).

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

2325840000 is an equidigital number, since it uses as much as digits as its factorization.

2325840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2325840000 is about 48226.9634125973. The cubic root of 2325840000 is about 1324.9310513546.

The spelling of 2325840000 in words is "two billion, three hundred twenty-five million, eight hundred forty thousand".