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2228992722240 = 263531737191427
BaseRepresentation
bin100000011011111010010…
…100011100010101000000
321220002102100001102111220
4200123322110130111000
5243004434114102430
64423552441435040
7320016342346044
oct40337224342500
97802370042456
102228992722240
1178a346311359
122bbbb119ba80
1313226836099b
1479c532d6024
153ceab90d110
hex206fa51c540

2228992722240 has 448 divisors, whose sum is σ = 7420913418240. Its totient is φ = 566158049280.

The previous prime is 2228992722179. The next prime is 2228992722247. The reversal of 2228992722240 is 422272998222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228992722247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1562012407 + ... + 1562013833.

It is an arithmetic number, because the mean of its divisors is an integer number (16564538880).

Almost surely, 22228992722240 is an apocalyptic number.

2228992722240 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 2228992722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710456709120).

2228992722240 is an abundant number, since it is smaller than the sum of its proper divisors (5191920696000).

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

2228992722240 is a wasteful number, since it uses less digits than its factorization.

2228992722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 2228992722240 in words is "two trillion, two hundred twenty-eight billion, nine hundred ninety-two million, seven hundred twenty-two thousand, two hundred forty".