Search a number
-
+
2211034230020 = 22571117101836189
BaseRepresentation
bin100000001011001011111…
…010001110110100000100
321211101001202222111110102
4200023023322032310010
5242211144230330040
64411422440543232
7315512326601630
oct40131372166404
97741052874412
102211034230020
117827701aa350
122b861aa81b18
13130665904325
147902c1d1dc0
153c7aa003515
hex202cbe8ed04

2211034230020 has 192 divisors, whose sum is σ = 6190107194880. Its totient is φ = 642192384000.

The previous prime is 2211034229933. The next prime is 2211034230023. The reversal of 2211034230020 is 200324301122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2211034229974 and 2211034230001.

It is not an unprimeable number, because it can be changed into a prime (2211034230023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2226086 + ... + 3062274.

It is an arithmetic number, because the mean of its divisors is an integer number (32240141640).

Almost surely, 22211034230020 is an apocalyptic number.

2211034230020 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 2211034230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095053597440).

2211034230020 is an abundant number, since it is smaller than the sum of its proper divisors (3979072964860).

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

2211034230020 is a wasteful number, since it uses less digits than its factorization.

2211034230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836334 (or 836332 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2211034230020 its reverse (200324301122), we get a palindrome (2411358531142).

The spelling of 2211034230020 in words is "two trillion, two hundred eleven billion, thirty-four million, two hundred thirty thousand, twenty".