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2330314140 = 22357112917393
BaseRepresentation
bin1000101011100101…
…1100010110011100
320000101220020001010
42022321130112130
514233030023030
61023122415220
7111514225530
oct21271342634
96011806033
102330314140
11a96446560
12550501510
132b1a2a10b
141816bdbc0
15d98ad6b0
hex8ae5c59c

2330314140 has 192 divisors, whose sum is σ = 8415912960. Its totient is φ = 467496960.

The previous prime is 2330314139. The next prime is 2330314141. The reversal of 2330314140 is 414130332.

2330314140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2330314139) and next prime (2330314141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330314141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125284 + ... + 142676.

It is an arithmetic number, because the mean of its divisors is an integer number (43832880).

Almost surely, 22330314140 is an apocalyptic number.

2330314140 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 2330314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207956480).

2330314140 is an abundant number, since it is smaller than the sum of its proper divisors (6085598820).

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

2330314140 is a wasteful number, since it uses less digits than its factorization.

2330314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17452 (or 17450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2330314140 is about 48273.3274179438. The cubic root of 2330314140 is about 1325.7800822357.

Adding to 2330314140 its reverse (414130332), we get a palindrome (2744444472).

The spelling of 2330314140 in words is "two billion, three hundred thirty million, three hundred fourteen thousand, one hundred forty".