Search a number
-
+
2232665157690 = 232511171917214057
BaseRepresentation
bin100000011111010101001…
…101101011000000111010
321220102220021101110212200
4200133111031223000322
5243034444240021230
64425401110451030
7320206344466662
oct40372515530072
97812807343780
102232665157690
11790960304480
12300857063a76
13132702153006
147a0c0d3d1a2
153d12402c160
hex207d536b03a

2232665157690 has 384 divisors, whose sum is σ = 7063904090880. Its totient is φ = 482203238400.

The previous prime is 2232665157689. The next prime is 2232665157769. The reversal of 2232665157690 is 967515662322.

It is a happy number.

2232665157690 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 6 + 65 + 1 + 576 + 9 + 0 = 666.

It is a super-3 number, since 3×22326651576903 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550322142 + ... + 550326198.

It is an arithmetic number, because the mean of its divisors is an integer number (18395583570).

Almost surely, 22232665157690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232665157690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531952045440).

2232665157690 is an abundant number, since it is smaller than the sum of its proper divisors (4831238933190).

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

2232665157690 is a wasteful number, since it uses less digits than its factorization.

2232665157690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 2232665157690 in words is "two trillion, two hundred thirty-two billion, six hundred sixty-five million, one hundred fifty-seven thousand, six hundred ninety".