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2329755648 = 21431131139
BaseRepresentation
bin1000101011011101…
…0100000000000000
320000100211211221020
42022313110000000
514232404140043
61023102425440
7111506411343
oct21267240000
96010754836
102329755648
11a960a49a0
12550292280
132b1892b4c
141815b645a
15d97ece83
hex8add4000

2329755648 has 240 divisors, whose sum is σ = 7046215680. Its totient is φ = 678297600.

The previous prime is 2329755613. The next prime is 2329755671. The reversal of 2329755648 is 8465579232.

It is a happy number.

It is a super-2 number, since 2×23297556482 = 10855522758775799808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2329755648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16760763 + ... + 16760901.

It is an arithmetic number, because the mean of its divisors is an integer number (29359232).

Almost surely, 22329755648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2329755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523107840).

2329755648 is an abundant number, since it is smaller than the sum of its proper divisors (4716460032).

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

2329755648 is a wasteful number, since it uses less digits than its factorization.

2329755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 2329755648 is about 48267.5423861626. The cubic root of 2329755648 is about 1325.6741599315.

The spelling of 2329755648 in words is "two billion, three hundred twenty-nine million, seven hundred fifty-five thousand, six hundred forty-eight".