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4222044402224 = 241121773101127137
BaseRepresentation
bin111101011100000101011…
…101001111001000110000
3112221121211112102001022012
4331130011131033020300
51023133221331332344
612551325212102052
7614014124200265
oct75340535171060
915847745361265
104222044402224
111388616aa6500
12582316164928
132481a221509c
141084c303d26c
1574c598ce29e
hex3d70574f230

4222044402224 has 480 divisors, whose sum is σ = 9894794692608. Its totient is φ = 1737179136000.

The previous prime is 4222044402143. The next prime is 4222044402293.

4222044402224 is nontrivially palindromic in base 10.

4222044402224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42220444022242 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30817842284 + ... + 30817842420.

Almost surely, 24222044402224 is an apocalyptic number.

4222044402224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222044402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947397346304).

4222044402224 is an abundant number, since it is smaller than the sum of its proper divisors (5672750290384).

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

4222044402224 is a wasteful number, since it uses less digits than its factorization.

4222044402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 42220 and 44402224, that added together give a palindrome (44444444).

The spelling of 4222044402224 in words is "four trillion, two hundred twenty-two billion, forty-four million, four hundred two thousand, two hundred twenty-four".