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2320131168 = 2533171371153
BaseRepresentation
bin1000101001001010…
…0110010001100000
312222200201212122000
42022102212101200
514222423144133
61022120244000
7111331534545
oct21222462140
95880655560
102320131168
11a90720983
12549010600
132ac8a31a4
141801ccbcc
15d8a4b413
hex8a4a6460

2320131168 has 192 divisors, whose sum is σ = 7223670720. Its totient is φ = 721944576.

The previous prime is 2320131161. The next prime is 2320131197. The reversal of 2320131168 is 8611310232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320131161) 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 31 ways as a sum of consecutive naturals, for example, 2011680 + ... + 2012832.

It is an arithmetic number, because the mean of its divisors is an integer number (37623285).

Almost surely, 22320131168 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 2320131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611835360).

2320131168 is an abundant number, since it is smaller than the sum of its proper divisors (4903539552).

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

2320131168 is a wasteful number, since it uses less digits than its factorization.

2320131168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2320131168 is about 48167.7399096117. The cubic root of 2320131168 is about 1323.8461378388.

The spelling of 2320131168 in words is "two billion, three hundred twenty million, one hundred thirty-one thousand, one hundred sixty-eight".