Search a number
-
+
2211660000000 = 283257111117
BaseRepresentation
bin100000001011110001001…
…101010110101100000000
321211102200101110220111100
4200023301031112230000
5242213434430000000
64412004513214400
7315533665551123
oct40136115265400
97742611426440
102211660000000
11782a61459620
122b8774561400
13130735453719
147908b3663ba
153c7e4e11a00
hex202f1356b00

2211660000000 has 864 divisors, whose sum is σ = 8703345688128. Its totient is φ = 535680000000.

The previous prime is 2211659999993. The next prime is 2211660000013. The reversal of 2211660000000 is 661122.

It is a happy number.

2211660000000 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 660 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1979999442 + ... + 1980000558.

Almost surely, 22211660000000 is an apocalyptic number.

2211660000000 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 2211660000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351672844064).

2211660000000 is an abundant number, since it is smaller than the sum of its proper divisors (6491685688128).

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

2211660000000 is an frugal number, since it uses more digits than its factorization.

2211660000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2211660000000 its reverse (661122), we get a palindrome (2211660661122).

The spelling of 2211660000000 in words is "two trillion, two hundred eleven billion, six hundred sixty million", and thus it is an aban number.