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2325576960 = 2833579613
BaseRepresentation
bin1000101010011101…
…0111110100000000
320000001222112212000
42022213113310000
514230321430320
61022433104000
7111426035520
oct21247276400
96001875760
102325576960
11a93800433
1254a9b8000
132b0a5bb55
14180c09680
15d9274c90
hex8a9d7d00

2325576960 has 288 divisors, whose sum is σ = 9432487680. Its totient is φ = 531505152.

The previous prime is 2325576959. The next prime is 2325577027. The reversal of 2325576960 is 696755232.

2325576960 is a `hidden beast` number, since 2 + 3 + 2 + 557 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237114 + ... + 246726.

Almost surely, 22325576960 is an apocalyptic number.

2325576960 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 2325576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716243840).

2325576960 is an abundant number, since it is smaller than the sum of its proper divisors (7106910720).

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

2325576960 is an equidigital number, since it uses as much as digits as its factorization.

2325576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2325576960 is about 48224.2362303438. The cubic root of 2325576960 is about 1324.8811019453.

The spelling of 2325576960 in words is "two billion, three hundred twenty-five million, five hundred seventy-six thousand, nine hundred sixty".