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2330875008 = 273371119461
BaseRepresentation
bin1000101011101110…
…0101010010000000
320000102221201102000
42022323211102000
514233201000013
61023142424000
7111522052650
oct21273452200
96012851360
102330875008
11a96799990
12550732000
132b1b954a7
141817c8360
15d996e973
hex8aee5480

2330875008 has 512 divisors, whose sum is σ = 9047808000. Its totient is φ = 572313600.

The previous prime is 2330875007. The next prime is 2330875021. The reversal of 2330875008 is 8005780332.

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

It is not an unprimeable number, because it can be changed into a prime (2330875003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5055898 + ... + 5056358.

It is an arithmetic number, because the mean of its divisors is an integer number (17671500).

Almost surely, 22330875008 is an apocalyptic number.

2330875008 is a gapful number since it is divisible by the number (28) 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 2330875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523904000).

2330875008 is an abundant number, since it is smaller than the sum of its proper divisors (6716932992).

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

2330875008 is a wasteful number, since it uses less digits than its factorization.

2330875008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2330875008 is about 48279.1363634438. The cubic root of 2330875008 is about 1325.8864381360.

The spelling of 2330875008 in words is "two billion, three hundred thirty million, eight hundred seventy-five thousand, eight".