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22244422134000 = 24353115316213923
BaseRepresentation
bin1010000111011001011101…
…11000010010100011110000
32220202112202000200021001110
411003230232320102203300
510403423034031242000
6115150540233433320
74454051342260503
oct503545670224360
986675660607043
1022244422134000
1170a6896424860
1225b314bb6b840
13c5484212c361
1456c8c87d713a
1528896612b850
hex143b2ee128f0

22244422134000 has 640 divisors, whose sum is σ = 79781305383936. Its totient is φ = 5286228480000.

The previous prime is 22244422133981. The next prime is 22244422134001. The reversal of 22244422134000 is 43122444222.

It is a happy number.

It is a super-2 number, since 2×222444221340002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244422134001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5670256039 + ... + 5670259961.

Almost surely, 222244422134000 is an apocalyptic number.

22244422134000 is a gapful number since it is divisible by the number (20) 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 22244422134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39890652691968).

22244422134000 is an abundant number, since it is smaller than the sum of its proper divisors (57536883249936).

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

22244422134000 is a wasteful number, since it uses less digits than its factorization.

22244422134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22244422134000 its reverse (43122444222), we get a palindrome (22287544578222).

The spelling of 22244422134000 in words is "twenty-two trillion, two hundred forty-four billion, four hundred twenty-two million, one hundred thirty-four thousand".