Search a number
-
+
2244464644422 = 23711213371019091
BaseRepresentation
bin100000101010010100100…
…001001001000101000110
321221120100121012111201210
4200222110201021011012
5243233130422110142
64435032014432250
7321104632460640
oct40522441110506
97846317174653
102244464644422
11795965862500
12302baa802686
131338628b0a20
147a8c0083890
153d5b4d9149c
hex20a94849146

2244464644422 has 384 divisors, whose sum is σ = 6299326301184. Its totient is φ = 518348160000.

The previous prime is 2244464644421. The next prime is 2244464644447.

2244464644422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244464644421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246884097 + ... + 246893187.

It is an arithmetic number, because the mean of its divisors is an integer number (16404495576).

Almost surely, 22244464644422 is an apocalyptic number.

2244464644422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244464644422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149663150592).

2244464644422 is an abundant number, since it is smaller than the sum of its proper divisors (4054861656762).

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

2244464644422 is a wasteful number, since it uses less digits than its factorization.

2244464644422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276 (or 9265 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

The spelling of 2244464644422 in words is "two trillion, two hundred forty-four billion, four hundred sixty-four million, six hundred forty-four thousand, four hundred twenty-two".