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2220002101980 = 223251317294344753
BaseRepresentation
bin100000010011100010011…
…011111100101011011100
321212020012202121121002100
4200103202123330223130
5242333031014230410
64415504353325100
7316250502342135
oct40234233745334
97766182547070
102220002101980
11786552347283
122ba302266790
13131464815b40
147963d242c8c
153cb324858c0
hex204e26fcadc

2220002101980 has 576 divisors, whose sum is σ = 8128285925760. Its totient is φ = 485022892032.

The previous prime is 2220002101973. The next prime is 2220002101981. The reversal of 2220002101980 is 891012000222.

2220002101980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220002101981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49583284 + ... + 49628036.

It is an arithmetic number, because the mean of its divisors is an integer number (14111607510).

Almost surely, 22220002101980 is an apocalyptic number.

2220002101980 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 2220002101980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064142962880).

2220002101980 is an abundant number, since it is smaller than the sum of its proper divisors (5908283823780).

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

2220002101980 is a wasteful number, since it uses less digits than its factorization.

2220002101980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44870 (or 44865 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2220002101980 in words is "two trillion, two hundred twenty billion, two million, one hundred one thousand, nine hundred eighty".