Search a number
-
+
2220001220112 = 24313371034671999
BaseRepresentation
bin100000010011100010011…
…000100101011000010000
321212020012200221210101120
4200103202120211120100
5242333030303020422
64415504322402240
7316250462010114
oct40234230453020
97766180853346
102220001220112
117865518a4765
122ba301b00380
13131464597620
147963d093744
153cb3235e45c
hex204e2625610

2220001220112 has 320 divisors, whose sum is σ = 6421588992000. Its totient is φ = 656425285632.

The previous prime is 2220001220077. The next prime is 2220001220137. The reversal of 2220001220112 is 2110221000222.

It is a junction number, because it is equal to n+sod(n) for n = 2220001220091 and 2220001220100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110554889 + ... + 1110556887.

It is an arithmetic number, because the mean of its divisors is an integer number (20067465600).

Almost surely, 22220001220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220001220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210794496000).

2220001220112 is an abundant number, since it is smaller than the sum of its proper divisors (4201587771888).

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

2220001220112 is a wasteful number, since it uses less digits than its factorization.

2220001220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220001220112 its reverse (2110221000222), we get a palindrome (4330222220334).

The spelling of 2220001220112 in words is "two trillion, two hundred twenty billion, one million, two hundred twenty thousand, one hundred twelve".