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2242341332244 = 22361359152193
BaseRepresentation
bin100000101000010101111…
…101010110010100010100
321221100212121211002000000
4200220111331112110110
5243214303340112434
64434041204451300
7321001210561266
oct40502575262424
97840777732000
102242341332244
11794a76251652
123026b76a9b30
131335b4a1cca0
147a75c089b36
153d4dd771b99
hex20a15f56514

2242341332244 has 84 divisors (see below), whose sum is σ = 6336028108116. Its totient is φ = 689951167488.

The previous prime is 2242341332237. The next prime is 2242341332251. The reversal of 2242341332244 is 4422331432422.

2242341332244 is a `hidden beast` number, since 2 + 2 + 42 + 3 + 41 + 332 + 244 = 666.

It is an interprime number because it is at equal distance from previous prime (2242341332237) and next prime (2242341332251).

It can be written as a sum of positive squares in 2 ways, for example, as 293352224400 + 1948989107844 = 541620^2 + 1396062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2242341332199 and 2242341332208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29538189 + ... + 29614004.

It is an arithmetic number, because the mean of its divisors is an integer number (75428906049).

Almost surely, 22242341332244 is an apocalyptic number.

It is an amenable number.

2242341332244 is an abundant number, since it is smaller than the sum of its proper divisors (4093686775872).

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

2242341332244 is a wasteful number, since it uses less digits than its factorization.

2242341332244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59152228 (or 59152211 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 2242341332244 its reverse (4422331432422), we get a palindrome (6664672764666).

The spelling of 2242341332244 in words is "two trillion, two hundred forty-two billion, three hundred forty-one million, three hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 4212 6318 9477 12636 18954 37908 59152193 118304386 177456579 236608772 354913158 532369737 709826316 768978509 1064739474 1537957018 1597109211 2129478948 2306935527 3075914036 3194218422 4613871054 4791327633 6388436844 6920806581 9227742108 9582655266 13841613162 14373982899 19165310532 20762419743 27683226324 28747965798 41524839486 43121948697 57495931596 62287259229 83049678972 86243897394 124574518458 172487794788 186861777687 249149036916 373723555374 560585333061 747447110748 1121170666122 2242341332244