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2328802560 = 28325728879
BaseRepresentation
bin1000101011001110…
…1011010100000000
320000022001102112200
42022303223110000
514232133140220
61023030153200
7111465331560
oct21263532400
96008042480
102328802560
11a95603917
1254bab2800
132b161b0a6
14181408da0
15d96b0890
hex8aceb500

2328802560 has 216 divisors, whose sum is σ = 9208792320. Its totient is φ = 532279296.

The previous prime is 2328802543. The next prime is 2328802591. The reversal of 2328802560 is 652088232.

2328802560 is a `hidden beast` number, since 2 + 328 + 80 + 256 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 66201 + ... + 95079.

Almost surely, 22328802560 is an apocalyptic number.

2328802560 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 2328802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604396160).

2328802560 is an abundant number, since it is smaller than the sum of its proper divisors (6879989760).

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

2328802560 is a wasteful number, since it uses less digits than its factorization.

2328802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28913 (or 28896 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2328802560 is about 48257.6684061715. The cubic root of 2328802560 is about 1325.4933603602.

The spelling of 2328802560 in words is "two billion, three hundred twenty-eight million, eight hundred two thousand, five hundred sixty".