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2242110211040 = 255731293220399
BaseRepresentation
bin100000101000001000001…
…011101100001111100000
321221100021111220220022102
4200220020023230033200
5243213320203223130
64434002231025532
7320662403225450
oct40501013541740
97840244826272
102242110211040
11794967842897
1230265220b2a8
13133578b8a58b
147a7394c5d60
153d4c831b645
hex20a082ec3e0

2242110211040 has 192 divisors, whose sum is σ = 6270334156800. Its totient is φ = 741383608320.

The previous prime is 2242110210971. The next prime is 2242110211067. The reversal of 2242110211040 is 401120112422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10062761 + ... + 10283159.

It is an arithmetic number, because the mean of its divisors is an integer number (32657990400).

Almost surely, 22242110211040 is an apocalyptic number.

2242110211040 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 2242110211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135167078400).

2242110211040 is an abundant number, since it is smaller than the sum of its proper divisors (4028223945760).

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

2242110211040 is a wasteful number, since it uses less digits than its factorization.

2242110211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220745 (or 220737 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2242110211040 its reverse (401120112422), we get a palindrome (2643230323462).

The spelling of 2242110211040 in words is "two trillion, two hundred forty-two billion, one hundred ten million, two hundred eleven thousand, forty".