Search a number
-
+
2223164032 = 2761284729
BaseRepresentation
bin1000010010000010…
…1100101010000000
312201221021102201121
42010200230222000
514023112222112
61004334042024
7106043403535
oct20440545200
95657242647
102223164032
11a40a11051
12520649314
13295781c9b
1417138ad8c
15d0295407
hex8482ca80

2223164032 has 32 divisors (see below), whose sum is σ = 4501581300. Its totient is φ = 1093355520.

The previous prime is 2223164029. The next prime is 2223164057. The reversal of 2223164032 is 2304613222.

It can be written as a sum of positive squares in 2 ways, for example, as 1610898496 + 612265536 = 40136^2 + 24744^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2223163988 and 2223164006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134557 + ... + 150172.

Almost surely, 22223164032 is an apocalyptic number.

It is an amenable number.

2223164032 is an abundant number, since it is smaller than the sum of its proper divisors (2278417268).

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

2223164032 is an equidigital number, since it uses as much as digits as its factorization.

2223164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284804 (or 284792 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2223164032 is about 47150.4404221212. The cubic root of 2223164032 is about 1305.1402073831.

Adding to 2223164032 its reverse (2304613222), we get a palindrome (4527777254).

The spelling of 2223164032 in words is "two billion, two hundred twenty-three million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 284729 569458 1138916 2277832 4555664 9111328 17368469 18222656 34736938 36445312 69473876 138947752 277895504 555791008 1111582016 2223164032