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2224101401144 = 2371231226209
BaseRepresentation
bin100000010111010110110…
…001100010001000111000
321212121210110011120101022
4200113112301202020320
5242414424424314034
64421423231442012
7316454206661510
oct40272661421070
97777713146338
102224101401144
11788266293427
122bb067086308
13131968b9404c
147990b844840
153ccc22c2b2e
hex205d6c62238

2224101401144 has 48 divisors (see below), whose sum is σ = 4769988303600. Its totient is φ = 952375656960.

The previous prime is 2224101401141. The next prime is 2224101401153. The reversal of 2224101401144 is 4411041014222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224101401141) 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 11 ways as a sum of consecutive naturals, for example, 84847112 + ... + 84873320.

It is an arithmetic number, because the mean of its divisors is an integer number (99374756325).

Almost surely, 22224101401144 is an apocalyptic number.

It is an amenable number.

2224101401144 is an abundant number, since it is smaller than the sum of its proper divisors (2545886902456).

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

2224101401144 is an equidigital number, since it uses as much as digits as its factorization.

2224101401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28684 (or 27449 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 2224101401144 its reverse (4411041014222), we get a palindrome (6635142415366).

The spelling of 2224101401144 in words is "two trillion, two hundred twenty-four billion, one hundred one million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 1231 2462 4924 8617 9848 17234 26209 34468 52418 68936 104836 183463 209672 366926 733852 1467704 1515361 3030722 6061444 10607527 12122888 21215054 32263279 42430108 64526558 84860216 129053116 225842953 258106232 451685906 903371812 1806743624 39716096449 79432192898 158864385796 278012675143 317728771592 556025350286 1112050700572 2224101401144