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2223421222144 = 2826375143973
BaseRepresentation
bin100000010110101110001…
…110110110110100000000
321212120001001021220012111
4200112232032312310000
5242412031313102034
64421231533105104
7316431310362403
oct40265616666400
97776031256174
102223421222144
11787a47351921
122baab7328194
1313188aca4775
1479885389d3a
153cc82718364
hex205ae3b6d00

2223421222144 has 72 divisors (see below), whose sum is σ = 4461065908992. Its totient is φ = 1105983744000.

The previous prime is 2223421222133. The next prime is 2223421222151. The reversal of 2223421222144 is 4412221243222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50541342 + ... + 50585314.

It is an arithmetic number, because the mean of its divisors is an integer number (61959248736).

Almost surely, 22223421222144 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 2223421222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230532954496).

2223421222144 is an abundant number, since it is smaller than the sum of its proper divisors (2237644686848).

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

2223421222144 is an equidigital number, since it uses as much as digits as its factorization.

2223421222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45003 (or 44989 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

Adding to 2223421222144 its reverse (4412221243222), we get a palindrome (6635642465366).

The spelling of 2223421222144 in words is "two trillion, two hundred twenty-three billion, four hundred twenty-one million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 263 526 751 1052 1502 2104 3004 4208 6008 8416 12016 16832 24032 33664 43973 48064 67328 87946 96128 175892 192256 197513 351784 395026 703568 790052 1407136 1580104 2814272 3160208 5628544 6320416 11257088 11564899 12640832 23129798 25281664 33023723 46259596 50563328 66047446 92519192 132094892 185038384 264189784 370076768 528379568 740153536 1056759136 1480307072 2113518272 2960614144 4227036544 8454073088 8685239149 17370478298 34740956596 69481913192 138963826384 277927652768 555855305536 1111710611072 2223421222144