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22212243042440 = 235111012112639007
BaseRepresentation
bin1010000110011101100001…
…10110110011000010001000
32220122110200102001001000112
411003032300312303002020
510402411133204324230
6115124055200053452
74451532042434153
oct503166066630210
986573612031015
1022212243042440
117094183142010
1225a8a6b304288
13c517b4476689
1456b114bd4c9a
15287bd1065d95
hex1433b0db3088

22212243042440 has 256 divisors, whose sum is σ = 55538237399040. Its totient is φ = 7928161920000.

The previous prime is 22212243042427. The next prime is 22212243042527. The reversal of 22212243042440 is 4424034221222.

22212243042440 is digitally balanced in base 5, 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 = 22212243042397 and 22212243042406.

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 63 ways as a sum of consecutive naturals, for example, 2466104417 + ... + 2466113423.

It is an arithmetic number, because the mean of its divisors is an integer number (216946239840).

Almost surely, 222212243042440 is an apocalyptic number.

22212243042440 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 22212243042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27769118699520).

22212243042440 is an abundant number, since it is smaller than the sum of its proper divisors (33325994356600).

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

22212243042440 is a wasteful number, since it uses less digits than its factorization.

22212243042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9604 (or 9600 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 22212243042440 its reverse (4424034221222), we get a palindrome (26636277263662).

The spelling of 22212243042440 in words is "twenty-two trillion, two hundred twelve billion, two hundred forty-three million, forty-two thousand, four hundred forty".