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2330868960 = 25345725693
BaseRepresentation
bin1000101011101110…
…0011110011100000
320000102221102010000
42022323203303200
514233200301320
61023142340000
7111522026220
oct21273436340
96012842100
102330868960
11a96795392
1255072a600
132b1b92804
141817c6080
15d996cc90
hex8aee3ce0

2330868960 has 240 divisors, whose sum is σ = 9401537376. Its totient is φ = 532749312.

The previous prime is 2330868959. The next prime is 2330868961. The reversal of 2330868960 is 698680332.

2330868960 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 (2330868959) and next prime (2330868961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330868961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77874 + ... + 103566.

Almost surely, 22330868960 is an apocalyptic number.

2330868960 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 2330868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700768688).

2330868960 is an abundant number, since it is smaller than the sum of its proper divisors (7070668416).

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

2330868960 is a wasteful number, since it uses less digits than its factorization.

2330868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25727 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2330868960 is about 48279.0737276514. The cubic root of 2330868960 is about 1325.8852913609.

The spelling of 2330868960 in words is "two billion, three hundred thirty million, eight hundred sixty-eight thousand, nine hundred sixty".