Search a number
-
+
2185530368 = 2107304901
BaseRepresentation
bin1000001001000100…
…1000110000000000
312122022110110001012
42002101020300000
513433443432433
61000511300052
7105105462440
oct20221106000
95568413035
102185530368
11a2174734a
1250bb1a628
1328aa36548
1416a392120
15cbd0e848
hex82448c00

2185530368 has 44 divisors (see below), whose sum is σ = 4993075152. Its totient is φ = 936652800.

The previous prime is 2185530367. The next prime is 2185530383. The reversal of 2185530368 is 8630355812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185530367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145283 + ... + 159618.

Almost surely, 22185530368 is an apocalyptic number.

2185530368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2185530368 is an abundant number, since it is smaller than the sum of its proper divisors (2807544784).

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

2185530368 is an equidigital number, since it uses as much as digits as its factorization.

2185530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304928 (or 304910 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 2185530368 is about 46749.6563409829. The cubic root of 2185530368 is about 1297.7337969430.

The spelling of 2185530368 in words is "two billion, one hundred eighty-five million, five hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 304901 609802 1219604 2134307 2439208 4268614 4878416 8537228 9756832 17074456 19513664 34148912 39027328 68297824 78054656 136595648 156109312 273191296 312218624 546382592 1092765184 2185530368