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221222022120 = 233251188762981
BaseRepresentation
bin1100111000000111011…
…1000010101111101000
3210011000100021002221200
43032001313002233220
512111030314201440
6245343351404200
721661042106421
oct3160167025750
9704010232850
10221222022120
1185902078560
1236a5a983660
1317b26c2bc08
14a9c87ca648
155b4b62ac30
hex3381dc2be8

221222022120 has 192 divisors, whose sum is σ = 785229344640. Its totient is φ = 53568268800.

The previous prime is 221222022103. The next prime is 221222022149. The reversal of 221222022120 is 21220222122.

221222022120 is a `hidden beast` number, since 221 + 2 + 220 + 221 + 2 + 0 = 666.

221222022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 221222022093 and 221222022102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3481030 + ... + 3544010.

It is an arithmetic number, because the mean of its divisors is an integer number (4089736170).

Almost surely, 2221222022120 is an apocalyptic number.

221222022120 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 221222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392614672320).

221222022120 is an abundant number, since it is smaller than the sum of its proper divisors (564007322520).

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

221222022120 is a wasteful number, since it uses less digits than its factorization.

221222022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63896 (or 63889 counting only the distinct ones).

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

Adding to 221222022120 its reverse (21220222122), we get a palindrome (242442244242).

The spelling of 221222022120 in words is "two hundred twenty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".