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2242774369920 = 273573145711779
BaseRepresentation
bin100000101000101111110…
…001010000011010000000
321221101222210122200000110
4200220233301100122000
5243221200214314140
64434152154151320
7321015016412640
oct40505761203200
97841883580013
102242774369920
11795178732227
123027b8722540
1313365365b0b6
147a79d7b0520
153d5167ae380
hex20a2fc50680

2242774369920 has 512 divisors, whose sum is σ = 8452830412800. Its totient is φ = 494969978880.

The previous prime is 2242774369883. The next prime is 2242774369937. The reversal of 2242774369920 is 299634772422.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190398591 + ... + 190410369.

It is an arithmetic number, because the mean of its divisors is an integer number (16509434400).

Almost surely, 22242774369920 is an apocalyptic number.

2242774369920 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 2242774369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226415206400).

2242774369920 is an abundant number, since it is smaller than the sum of its proper divisors (6210056042880).

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

2242774369920 is a wasteful number, since it uses less digits than its factorization.

2242774369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 2242774369920 in words is "two trillion, two hundred forty-two billion, seven hundred seventy-four million, three hundred sixty-nine thousand, nine hundred twenty".