Search a number
-
+
2224433423304 = 233230894908657
BaseRepresentation
bin100000010111101010100…
…100000110001111001000
321212122122120221001011100
4200113222210012033020
5242421114424021204
64421520212101400
7316465351061241
oct40275244061710
97778576831140
102224433423304
11788416749604
122bb13a304860
131319bc8c4371
147993d991cc8
153cce1509a39
hex205ea9063c8

2224433423304 has 24 divisors (see below), whose sum is σ = 6024507188310. Its totient is φ = 741477807744.

The previous prime is 2224433423293. The next prime is 2224433423339. The reversal of 2224433423304 is 4033243344222.

2224433423304 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 4 + 3 + 342 + 3 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1877453520804 + 346979902500 = 1370202^2 + 589050^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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 5 ways as a sum of consecutive naturals, for example, 15447454257 + ... + 15447454400.

Almost surely, 22224433423304 is an apocalyptic number.

2224433423304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2224433423304 is an abundant number, since it is smaller than the sum of its proper divisors (3800073765006).

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

2224433423304 is a wasteful number, since it uses less digits than its factorization.

2224433423304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30894908669 (or 30894908662 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 2224433423304 its reverse (4033243344222), we get a palindrome (6257676767526).

The spelling of 2224433423304 in words is "two trillion, two hundred twenty-four billion, four hundred thirty-three million, four hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30894908657 61789817314 92684725971 123579634628 185369451942 247159269256 278054177913 370738903884 556108355826 741477807768 1112216711652 2224433423304