Search a number
-
+
2220301210000 = 24541397612099
BaseRepresentation
bin100000010011110100010…
…000111101000110010000
321212020222121102212011011
4200103310100331012100
5242334134102210000
64415554200300304
7316261063615156
oct40236420750620
97766877385134
102220301210000
11786696171595
122ba386471694
131314b1790933
147966ac633d6
153cb4d86a2ba
hex204f443d190

2220301210000 has 200 divisors, whose sum is σ = 5423941908000. Its totient is φ = 880152960000.

The previous prime is 2220301209989. The next prime is 2220301210067. The reversal of 2220301210000 is 121030222.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1057788951 + ... + 1057791049.

It is an arithmetic number, because the mean of its divisors is an integer number (27119709540).

Almost surely, 22220301210000 is an apocalyptic number.

2220301210000 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 2220301210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711970954000).

2220301210000 is an abundant number, since it is smaller than the sum of its proper divisors (3203640698000).

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

2220301210000 is a wasteful number, since it uses less digits than its factorization.

2220301210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2220301210000 its reverse (121030222), we get a palindrome (2220422240222).

The spelling of 2220301210000 in words is "two trillion, two hundred twenty billion, three hundred one million, two hundred ten thousand".