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44221422224 = 2474329033163
BaseRepresentation
bin101001001011110011…
…010101101010010000
311020010212102000010202
4221023303111222100
51211031141002344
632152014314332
73123563613140
oct511363255220
9136125360122
1044221422224
1117832927041
1286a17b89a8
13422981bb35
1421d70bc920
15123c3e894e
hexa4bcd5a90

44221422224 has 80 divisors (see below), whose sum is σ = 100262249472. Its totient is φ = 18499065984.

The previous prime is 44221422151. The next prime is 44221422233. The reversal of 44221422224 is 42222412244.

It is a super-2 number, since 2×442214222242 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13979267 + ... + 13982429.

Almost surely, 244221422224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44221422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50131124736).

44221422224 is an abundant number, since it is smaller than the sum of its proper divisors (56040827248).

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

44221422224 is a wasteful number, since it uses less digits than its factorization.

44221422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6118 counting only the distinct ones).

The product of its digits is 16384, while the sum is 29.

Adding to 44221422224 its reverse (42222412244), we get a palindrome (86443834468).

The spelling of 44221422224 in words is "forty-four billion, two hundred twenty-one million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 2903 3163 4816 5806 6326 11612 12652 20321 22141 23224 25304 40642 44282 46448 50608 81284 88564 124829 136009 162568 177128 249658 272018 325136 354256 499316 544036 873803 952063 998632 1088072 1747606 1904126 1997264 2176144 3495212 3808252 6990424 7616504 9182189 13980848 15233008 18364378 36728756 64275323 73457512 128550646 146915024 257101292 394834127 514202584 789668254 1028405168 1579336508 2763838889 3158673016 5527677778 6317346032 11055355556 22110711112 44221422224