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2328168960 = 29335132591
BaseRepresentation
bin1000101011000101…
…0000101000000000
320000020212020102000
42022301100220000
514232002401320
61023004424000
7111460052415
oct21261205000
96006766360
102328168960
11a95210887
1254b848000
132b1458890
141812c210c
15d95d7c90
hex8ac50a00

2328168960 has 320 divisors, whose sum is σ = 8909429760. Its totient is φ = 572866560.

The previous prime is 2328168949. The next prime is 2328168961. The reversal of 2328168960 is 698618232.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (2328168961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897265 + ... + 899855.

It is an arithmetic number, because the mean of its divisors is an integer number (27841968).

Almost surely, 22328168960 is an apocalyptic number.

2328168960 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 2328168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454714880).

2328168960 is an abundant number, since it is smaller than the sum of its proper divisors (6581260800).

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

2328168960 is a wasteful number, since it uses less digits than its factorization.

2328168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2328168960 is about 48251.1031998233. The cubic root of 2328168960 is about 1325.3731399540.

The spelling of 2328168960 in words is "two billion, three hundred twenty-eight million, one hundred sixty-eight thousand, nine hundred sixty".