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2328818688 = 2103572191
BaseRepresentation
bin1000101011001110…
…1111010000000000
320000022002020200000
42022303233100000
514232134144223
61023030400000
7111465426600
oct21263572000
96008066600
102328818688
11a95614a49
1254bb00000
132b1625531
14181410c00
15d96b5543
hex8acef400

2328818688 has 396 divisors, whose sum is σ = 8154461952. Its totient is φ = 661893120.

The previous prime is 2328818663. The next prime is 2328818689. The reversal of 2328818688 is 8868188232.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328818689) 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 35 ways as a sum of consecutive naturals, for example, 12192673 + ... + 12192863.

Almost surely, 22328818688 is an apocalyptic number.

2328818688 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 2328818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077230976).

2328818688 is an abundant number, since it is smaller than the sum of its proper divisors (5825643264).

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

2328818688 is an equidigital number, since it uses as much as digits as its factorization.

2328818688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 203 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 2328818688 is about 48257.8355088580. The cubic root of 2328818688 is about 1325.4964202314.

The spelling of 2328818688 in words is "two billion, three hundred twenty-eight million, eight hundred eighteen thousand, six hundred eighty-eight".