Search a number
-
+
2213334432 = 25327685189
BaseRepresentation
bin1000001111101100…
…1100110110100000
312201020210001001100
42003323030312200
514013103200212
61003343234400
7105564014031
oct20373146640
95636701040
102213334432
11a36407a11
125192a8a00
1329371cb5a
1416dd4ca88
15ce4a2bdc
hex83eccda0

2213334432 has 36 divisors (see below), whose sum is σ = 6294170610. Its totient is φ = 737778048.

The previous prime is 2213334419. The next prime is 2213334439. The reversal of 2213334432 is 2344333122.

2213334432 is a `hidden beast` number, since 2 + 213 + 3 + 3 + 443 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1242139536 + 971194896 = 35244^2 + 31164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2213334396 and 2213334405.

It is not an unprimeable number, because it can be changed into a prime (2213334439) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3842307 + ... + 3842882.

Almost surely, 22213334432 is an apocalyptic number.

It is an amenable number.

2213334432 is an abundant number, since it is smaller than the sum of its proper divisors (4080836178).

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

2213334432 is a wasteful number, since it uses less digits than its factorization.

2213334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685205 (or 7685194 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 2213334432 is about 47046.0883815010. The cubic root of 2213334432 is about 1303.2138297571.

Adding to 2213334432 its reverse (2344333122), we get a palindrome (4557667554).

It can be divided in two parts, 22133 and 34432, that added together give a palindrome (56565).

The spelling of 2213334432 in words is "two billion, two hundred thirteen million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7685189 15370378 23055567 30740756 46111134 61481512 69166701 92222268 122963024 138333402 184444536 245926048 276666804 368889072 553333608 737778144 1106667216 2213334432