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2169075328 = 2772718933
BaseRepresentation
bin1000000101001001…
…0111011010000000
312121011111102222021
42001102113122000
513420240402303
6555122451224
7104515556530
oct20122273200
95534442867
102169075328
11a13428442
12506503b14
132874c4834
1416810b4c0
15ca65debd
hex81497680

2169075328 has 64 divisors (see below), whose sum is σ = 4957297920. Its totient is φ = 926069760.

The previous prime is 2169075299. The next prime is 2169075343. The reversal of 2169075328 is 8235709612.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238350 + ... + 247282.

It is an arithmetic number, because the mean of its divisors is an integer number (77457780).

Almost surely, 22169075328 is an apocalyptic number.

2169075328 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 2169075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478648960).

2169075328 is an abundant number, since it is smaller than the sum of its proper divisors (2788222592).

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

2169075328 is an equidigital number, since it uses as much as digits as its factorization.

2169075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2169075328 is about 46573.3327989312. The cubic root of 2169075328 is about 1294.4686734712.

The spelling of 2169075328 in words is "two billion, one hundred sixty-nine million, seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 271 448 542 896 1084 1897 2168 3794 4336 7588 8672 8933 15176 17344 17866 30352 34688 35732 60704 62531 71464 121408 125062 142928 242816 250124 285856 500248 571712 1000496 1143424 2000992 2420843 4001984 4841686 8003968 9683372 16945901 19366744 33891802 38733488 67783604 77466976 135567208 154933952 271134416 309867904 542268832 1084537664 2169075328