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22110011000 = 23537111012843
BaseRepresentation
bin10100100101110110…
…111111111001111000
32010001212212221012022
4110211312333321320
5330240130323000
614053542134012
71411622664320
oct244566777170
963055787168
1022110011000
119416585570
124350721308
13211488c35c
1410da61a280
1589610e585
hex525dbfe78

22110011000 has 256 divisors, whose sum is σ = 65165368320. Its totient is φ = 6820800000.

The previous prime is 22110010987. The next prime is 22110011023. The reversal of 22110011000 is 11001122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

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, 7775579 + ... + 7778421.

It is an arithmetic number, because the mean of its divisors is an integer number (254552220).

Almost surely, 222110011000 is an apocalyptic number.

22110011000 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 22110011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32582684160).

22110011000 is an abundant number, since it is smaller than the sum of its proper divisors (43055357320).

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

22110011000 is a wasteful number, since it uses less digits than its factorization.

22110011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22110011000 its reverse (11001122), we get a palindrome (22121012122).

The spelling of 22110011000 in words is "twenty-two billion, one hundred ten million, eleven thousand".