Search a number
-
+
2201440004304 = 243160942316737
BaseRepresentation
bin100000000010010000000…
…011001010100011010000
321210110022010202100000020
4200002100003022203100
5242032022120114204
64403154431223440
7315022510201242
oct40022003124320
97713263670006
102201440004304
11779697544592
122b67a1977b80
1312c796cca7a8
147879bcd8092
153c3e7a99bd9
hex200900ca8d0

2201440004304 has 80 divisors (see below), whose sum is σ = 5692777722240. Its totient is φ = 733075107840.

The previous prime is 2201440004303. The next prime is 2201440004311. The reversal of 2201440004304 is 4034000441022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201440004303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326765224 + ... + 326771960.

It is an arithmetic number, because the mean of its divisors is an integer number (71159721528).

Almost surely, 22201440004304 is an apocalyptic number.

2201440004304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2201440004304 is an abundant number, since it is smaller than the sum of its proper divisors (3491337717936).

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

2201440004304 is a wasteful number, since it uses less digits than its factorization.

2201440004304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588 (or 12582 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2201440004304 its reverse (4034000441022), we get a palindrome (6235440445326).

The spelling of 2201440004304 in words is "two trillion, two hundred one billion, four hundred forty million, four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1609 3218 4231 4827 6436 6737 8462 9654 12693 12872 13474 16924 19308 20211 25386 25744 26948 33848 38616 40422 50772 53896 67696 77232 80844 101544 107792 161688 203088 323376 6807679 10839833 13615358 20423037 21679666 27230716 28504247 32519499 40846074 43359332 54461432 57008494 65038998 81692148 85512741 86718664 108922864 114016988 130077996 163384296 171025482 173437328 228033976 260155992 326768592 342050964 456067952 520311984 684101928 1368203856 45863333423 91726666846 137590000269 183453333692 275180000538 366906667384 550360001076 733813334768 1100720002152 2201440004304