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2211022114422 = 231167773646837
BaseRepresentation
bin100000001011001011001…
…100000000111001110110
321211101000221011221222120
4200023023030000321312
5242211133130130142
64411421325140410
7315512121611322
oct40131314007166
97741027157876
102211022114422
11782764384760
122b86169ba706
13130663251834
147902a75a982
153c7a8e0d7ec
hex202cb300e76

2211022114422 has 64 divisors (see below), whose sum is σ = 4902390376704. Its totient is φ = 659151757440.

The previous prime is 2211022114393. The next prime is 2211022114429. The reversal of 2211022114422 is 2244112201122.

It is a junction number, because it is equal to n+sod(n) for n = 2211022114392 and 2211022114401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211022114429) 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 31 ways as a sum of consecutive naturals, for example, 3094788 + ... + 3741624.

It is an arithmetic number, because the mean of its divisors is an integer number (76599849636).

Almost surely, 22211022114422 is an apocalyptic number.

2211022114422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211022114422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451195188352).

2211022114422 is an abundant number, since it is smaller than the sum of its proper divisors (2691368262282).

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

2211022114422 is a wasteful number, since it uses less digits than its factorization.

2211022114422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647693.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2211022114422 its reverse (2244112201122), we get a palindrome (4455134315544).

The spelling of 2211022114422 in words is "two trillion, two hundred eleven billion, twenty-two million, one hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 773 1474 1546 2211 2319 4422 4638 8503 17006 25509 51018 51791 103582 155373 310746 569701 646837 1139402 1293674 1709103 1940511 3418206 3881022 7115207 14230414 21345621 42691242 43338079 86676158 130014237 260028474 476718869 500005001 953437738 1000010002 1430156607 1500015003 2860313214 3000030006 5500055011 11000110022 16500165033 33000330066 33500335067 67000670134 100501005201 201002010402 368503685737 737007371474 1105511057211 2211022114422