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20022122210220 = 22335133323858307
BaseRepresentation
bin1001000110101110000110…
…11110110110001110101100
32121220002121010022020001000
410203113003132312032230
510111020301241211340
6110330011433520300
74134356565505404
oct443270336661654
977802533266030
1020022122210220
11641a375014aa9
1222b4508273090
13b23102554960
144d310c331804
1524ac4c0a4d30
hex1235c37b63ac

20022122210220 has 192 divisors, whose sum is σ = 67102931427840. Its totient is φ = 4927033495296.

The previous prime is 20022122210161. The next prime is 20022122210249. The reversal of 20022122210220 is 2201222122002.

20022122210220 is a `hidden beast` number, since 2 + 0 + 0 + 221 + 2 + 221 + 0 + 220 = 666.

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 = 20022122210193 and 20022122210202.

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, 22898307 + ... + 23756613.

It is an arithmetic number, because the mean of its divisors is an integer number (349494434520).

Almost surely, 220022122210220 is an apocalyptic number.

20022122210220 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 20022122210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33551465713920).

20022122210220 is an abundant number, since it is smaller than the sum of its proper divisors (47080809217620).

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

20022122210220 is a wasteful number, since it uses less digits than its factorization.

20022122210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861661 (or 861653 counting only the distinct ones).

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

Adding to 20022122210220 its reverse (2201222122002), we get a palindrome (22223344332222).

The spelling of 20022122210220 in words is "twenty trillion, twenty-two billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty".