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2220110000020 = 22511238923920627
BaseRepresentation
bin100000010011101000110…
…111100010111110010100
321212020111021122101101001
4200103220313202332110
5242333241130000040
64415523210113044
7316253252430523
oct40235067427624
97766437571331
102220110000020
117865a8242710
122ba33241b784
13131480c93533
147964d6cc4ba
153cb3bb9a59a
hex204e8de2f94

2220110000020 has 192 divisors, whose sum is σ = 5389551820800. Its totient is φ = 760304061440.

The previous prime is 2220109999993. The next prime is 2220110000027. The reversal of 2220110000020 is 200000110222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2220109999961 and 2220110000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220110000027) 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, 107620947 + ... + 107641573.

It is an arithmetic number, because the mean of its divisors is an integer number (28070582400).

Almost surely, 22220110000020 is an apocalyptic number.

2220110000020 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 2220110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694775910400).

2220110000020 is an abundant number, since it is smaller than the sum of its proper divisors (3169441820780).

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

2220110000020 is a wasteful number, since it uses less digits than its factorization.

2220110000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20998 (or 20996 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2220110000020 its reverse (200000110222), we get a palindrome (2420110110242).

The spelling of 2220110000020 in words is "two trillion, two hundred twenty billion, one hundred ten million, twenty", and thus it is an aban number.