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22022220221120 = 265779132194207
BaseRepresentation
bin1010000000111011100101…
…00111010000101011000000
32212222022012101120112200102
411000131302213100223000
510341303001334033440
6114500511315341532
74432024101212510
oct500356247205300
985868171515612
1022022220221120
117020631218929
122578078bb18a8
13c398c01b4332
14561c49c15840
15282cad992b15
hex1407729d0ac0

22022220221120 has 224 divisors, whose sum is σ = 60737118535680. Its totient is φ = 7449177415680.

The previous prime is 22022220221087. The next prime is 22022220221129. The reversal of 22022220221120 is 2112202222022.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22022220221092 and 22022220221101.

It is not an unprimeable number, because it can be changed into a prime (22022220221129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233717057 + ... + 233811263.

Almost surely, 222022220221120 is an apocalyptic number.

22022220221120 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 22022220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30368559267840).

22022220221120 is an abundant number, since it is smaller than the sum of its proper divisors (38714898314560).

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

22022220221120 is a wasteful number, since it uses less digits than its factorization.

22022220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95631 (or 95621 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22022220221120 its reverse (2112202222022), we get a palindrome (24134422443142).

The spelling of 22022220221120 in words is "twenty-two trillion, twenty-two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".