Search a number
-
+
2211020222220 = 2233519835325799
BaseRepresentation
bin100000001011001011000…
…100110010111100001100
321211101000210121211101000
4200023023010302330030
5242211132134102340
64411421220420300
7315512066540565
oct40131304627414
97741023554330
102211020222220
11782763302057
122b8616247690
13130662a3b4a4
147902a3c716c
153c7a8b87d30
hex202cb132f0c

2211020222220 has 192 divisors, whose sum is σ = 7241915520000. Its totient is φ = 558485010432.

The previous prime is 2211020222189. The next prime is 2211020222221. The reversal of 2211020222220 is 222220201122.

2211020222220 is a `hidden beast` number, since 221 + 1 + 0 + 2 + 0 + 222 + 220 = 666.

It is a super-4 number, since 4×22110202222204 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 2211020222193 and 2211020222202.

It is not an unprimeable number, because it can be changed into a prime (2211020222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85688881 + ... + 85714679.

It is an arithmetic number, because the mean of its divisors is an integer number (37718310000).

Almost surely, 22211020222220 is an apocalyptic number.

2211020222220 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 2211020222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620957760000).

2211020222220 is an abundant number, since it is smaller than the sum of its proper divisors (5030895297780).

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

2211020222220 is a wasteful number, since it uses less digits than its factorization.

2211020222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34189 (or 34181 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2211020222220 its reverse (222220201122), we get a palindrome (2433240423342).

The spelling of 2211020222220 in words is "two trillion, two hundred eleven billion, twenty million, two hundred twenty-two thousand, two hundred twenty".