Search a number
-
+
2221412000000 = 2856836691
BaseRepresentation
bin100000010100110110011…
…110010010000100000000
321212100212000120211120112
4200110312132102010000
5242343422433000000
64420300320330452
7316330442311034
oct40246636220400
97770760524515
102221412000000
11787106186556
122ba636473a28
1313162a94b91b
14797345b01c4
153cbb6133235
hex20536792100

2221412000000 has 252 divisors, whose sum is σ = 5610229125648. Its totient is φ = 877728000000.

The previous prime is 2221411999993. The next prime is 2221412000033. The reversal of 2221412000000 is 2141222.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 331996655 + ... + 332003345.

Almost surely, 22221412000000 is an apocalyptic number.

2221412000000 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 2221412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805114562824).

2221412000000 is an abundant number, since it is smaller than the sum of its proper divisors (3388817125648).

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

2221412000000 is an frugal number, since it uses more digits than its factorization.

2221412000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2221412000000 its reverse (2141222), we get a palindrome (2221414141222).

The spelling of 2221412000000 in words is "two trillion, two hundred twenty-one billion, four hundred twelve million", and thus it is an aban number.