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2226000224 = 25721419643
BaseRepresentation
bin1000010010101110…
…0001000101100000
312202010121112020202
42010223201011200
514024324001344
61004514524332
7106106455400
oct20453410540
95663545222
102226000224
11a42578a08
125215966a8
13296235bc6
141718c8800
15d065594e
hex84ae1160

2226000224 has 36 divisors (see below), whose sum is σ = 5097941604. Its totient is φ = 953999424.

The previous prime is 2226000199. The next prime is 2226000239. The reversal of 2226000224 is 4220006222.

It is a junction number, because it is equal to n+sod(n) for n = 2226000196 and 2226000205.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 708254 + ... + 711389.

It is an arithmetic number, because the mean of its divisors is an integer number (141609489).

Almost surely, 22226000224 is an apocalyptic number.

It is an amenable number.

2226000224 is an abundant number, since it is smaller than the sum of its proper divisors (2871941380).

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

2226000224 is a wasteful number, since it uses less digits than its factorization.

2226000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419667 (or 1419652 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2226000224 is about 47180.5068222036. The cubic root of 2226000224 is about 1305.6949805449.

Adding to 2226000224 its reverse (4220006222), we get a palindrome (6446006446).

The spelling of 2226000224 in words is "two billion, two hundred twenty-six million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1419643 2839286 5678572 9937501 11357144 19875002 22714288 39750004 45428576 69562507 79500008 139125014 159000016 278250028 318000032 556500056 1113000112 2226000224