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2822056190226 = 23372134110718701
BaseRepresentation
bin101001000100001111101…
…010000010000100010010
3100222210012221121010221000
4221010033222002010102
5332214032341041401
610000233522042430
7410613116554500
oct51041752020422
910883187533830
102822056190226
1199891116a769
12396b24aa9416
13176170ba7880
149a834221670
154d61c7ec186
hex2910fa82112

2822056190226 has 384 divisors, whose sum is σ = 8123538366720. Its totient is φ = 719300736000.

The previous prime is 2822056190189. The next prime is 2822056190227. The reversal of 2822056190226 is 6220916502282.

It is a happy number.

2822056190226 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 0 + 5 + 619 + 0 + 2 + 26 = 666.

It is a super-2 number, since 2×28220561902262 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2822056190227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150894676 + ... + 150913376.

It is an arithmetic number, because the mean of its divisors is an integer number (21155047830).

Almost surely, 22822056190226 is an apocalyptic number.

2822056190226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822056190226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061769183360).

2822056190226 is an abundant number, since it is smaller than the sum of its proper divisors (5301482176494).

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

2822056190226 is a wasteful number, since it uses less digits than its factorization.

2822056190226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18887 (or 18874 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2822056190226 in words is "two trillion, eight hundred twenty-two billion, fifty-six million, one hundred ninety thousand, two hundred twenty-six".