Search a number
-
+
2231020008672 = 2537132309110603
BaseRepresentation
bin100000011101110011001…
…001111011010011100000
321220021122121202020200120
4200131303021323103200
5243023112110234142
64424525541320240
7320120520115110
oct40356311732340
97807577666616
102231020008672
117901966a5694
12300478106080
131324cc36cb60
1479da6655040
153d0798b07ec
hex2077327b4e0

2231020008672 has 192 divisors, whose sum is σ = 7211097653760. Its totient is φ = 588140734464.

The previous prime is 2231020008667. The next prime is 2231020008697. The reversal of 2231020008672 is 2768000201322.

It is a super-3 number, since 3×22310200086723 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20116123 + ... + 20226725.

It is an arithmetic number, because the mean of its divisors is an integer number (37557800280).

Almost surely, 22231020008672 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 2231020008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605548826880).

2231020008672 is an abundant number, since it is smaller than the sum of its proper divisors (4980077645088).

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

2231020008672 is a wasteful number, since it uses less digits than its factorization.

2231020008672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112945 (or 112937 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 2231020008672 its reverse (2768000201322), we get a palindrome (4999020209994).

The spelling of 2231020008672 in words is "two trillion, two hundred thirty-one billion, twenty million, eight thousand, six hundred seventy-two".