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2201430304424 = 231361652953149
BaseRepresentation
bin100000000010001111011…
…110001010011010101000
321210110021110111112021102
4200002033132022122220
5242032012124220144
64403153443300532
7315022331561561
oct40021736123250
97713243445242
102201430304424
1177969201995a
122b679a67a748
1312c794cb2710
147879a8d1168
153c3e6cd0b4e
hex2008f78a6a8

2201430304424 has 64 divisors (see below), whose sum is σ = 4518844890000. Its totient is φ = 999216414720.

The previous prime is 2201430304399. The next prime is 2201430304439. The reversal of 2201430304424 is 4244030341022.

It can be written as a sum of positive squares in 8 ways, for example, as 24654652324 + 2176775652100 = 157018^2 + 1475390^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41393402 + ... + 41446550.

Almost surely, 22201430304424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201430304424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259422445000).

2201430304424 is an abundant number, since it is smaller than the sum of its proper divisors (2317414585576).

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

2201430304424 is a wasteful number, since it uses less digits than its factorization.

2201430304424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59758 (or 59754 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2201430304424 its reverse (4244030341022), we get a palindrome (6445460645446).

The spelling of 2201430304424 in words is "two trillion, two hundred one billion, four hundred thirty million, three hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344 6529 13058 26116 52232 53149 84877 106298 169754 212596 339508 398269 425192 679016 690937 796538 1381874 1593076 2763748 3186152 3242089 5177497 5527496 6484178 10354994 12968356 20709988 25936712 41419976 42147157 84294314 168588628 337177256 347009821 694019642 1388039284 2776078568 4511127673 9022255346 18044510692 21167599081 36089021384 42335198162 84670396324 169340792648 275178788053 550357576106 1100715152212 2201430304424