Search a number
-
+
224040402220 = 22554725578009
BaseRepresentation
bin1101000010100111011…
…0010011110100101100
3210102021202112122121211
43100221312103310230
512132313320332340
6250531151204204
722120633666135
oct3205166236454
9712252478554
10224040402220
1187018a6a208
1237506816664
1318185ac314b
14abb4c36c8c
155c63c965ea
hex3429d93d2c

224040402220 has 48 divisors (see below), whose sum is σ = 471588173280. Its totient is φ = 89406180864.

The previous prime is 224040402199. The next prime is 224040402301. The reversal of 224040402220 is 22204040422.

It is a happy number.

224040402220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224040402191 and 224040402200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27969576 + ... + 27977584.

It is an arithmetic number, because the mean of its divisors is an integer number (9824753610).

Almost surely, 2224040402220 is an apocalyptic number.

224040402220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224040402220 is an abundant number, since it is smaller than the sum of its proper divisors (247547771060).

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

224040402220 is a wasteful number, since it uses less digits than its factorization.

224040402220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 224040402220 its reverse (22204040422), we get a palindrome (246244442642).

The spelling of 224040402220 in words is "two hundred twenty-four billion, forty million, four hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 547 1094 2188 2557 2735 5114 5470 8009 10228 10940 12785 16018 25570 32036 40045 51140 80090 160180 1398679 2797358 4380923 5594716 6993395 8761846 13986790 17523692 20479013 21904615 27973580 40958026 43809230 81916052 87618460 102395065 204790130 409580260 11202020111 22404040222 44808080444 56010100555 112020201110 224040402220