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2242201324122 = 233113751748883
BaseRepresentation
bin100000101000001101100…
…111010000101001011010
321221100111212100220222000
4200220031213100221122
5243214012014332442
64434015243541430
7320664560535324
oct40501547205132
97840455326860
102242201324122
11794a04214461
1230267882a876
13133591a0c046
147a747642614
153d4d1317d4c
hex20a0d9d0a5a

2242201324122 has 64 divisors (see below), whose sum is σ = 5027535596160. Its totient is φ = 740672577792.

The previous prime is 2242201324117. The next prime is 2242201324123. The reversal of 2242201324122 is 2214231022422.

2242201324122 is a `hidden beast` number, since 2 + 2 + 42 + 201 + 3 + 2 + 412 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2242201324123) 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, 45844293 + ... + 45893175.

It is an arithmetic number, because the mean of its divisors is an integer number (78555243690).

Almost surely, 22242201324122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242201324122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513767798080).

2242201324122 is an abundant number, since it is smaller than the sum of its proper divisors (2785334272038).

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

2242201324122 is a wasteful number, since it uses less digits than its factorization.

2242201324122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56524 (or 56518 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2242201324122 its reverse (2214231022422), we get a palindrome (4456432346544).

The spelling of 2242201324122 in words is "two trillion, two hundred forty-two billion, two hundred one million, three hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 7517 15034 22551 45102 48883 67653 97766 135306 146649 202959 293298 405918 439947 849421 879894 1319841 1698842 2548263 2639682 5096526 5523779 7644789 11047558 15289578 16571337 22934367 33142674 45868734 49714011 99428022 149142033 298284066 367453511 734907022 1102360533 2204721066 3307081599 6614163198 9921244797 19842489594 41522246743 83044493486 124566740229 249133480458 373700220687 747400441374 1121100662061 2242201324122