Search a number
-
+
2244131421000 = 233537301135491
BaseRepresentation
bin100000101010000000101…
…001111111101101001000
321221112111101012000010120
4200222000221333231020
5243231440120433000
64434534552343240
7321063445226040
oct40520051775510
97845441160116
102244131421000
11795804756847
12302b170a4b20
1313380b84c9c1
147a88bb02720
153d5959bd6a0
hex20a80a7fb48

2244131421000 has 256 divisors, whose sum is σ = 8004814571520. Its totient is φ = 512759520000.

The previous prime is 2244131420963. The next prime is 2244131421011. The reversal of 2244131421000 is 1241314422.

It is a super-2 number, since 2×22441314210002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63213255 + ... + 63248745.

It is an arithmetic number, because the mean of its divisors is an integer number (31268806920).

Almost surely, 22244131421000 is an apocalyptic number.

2244131421000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244131421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002407285760).

2244131421000 is an abundant number, since it is smaller than the sum of its proper divisors (5760683150520).

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

2244131421000 is a wasteful number, since it uses less digits than its factorization.

2244131421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38533 (or 38519 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2244131421000 its reverse (1241314422), we get a palindrome (2245372735422).

The spelling of 2244131421000 in words is "two trillion, two hundred forty-four billion, one hundred thirty-one million, four hundred twenty-one thousand".