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22113022320 = 243251910715107
BaseRepresentation
bin10100100110000010…
…011111000101110000
32010002002112220221200
4110212002133011300
5330241413203240
614054130451200
71411660405554
oct244602370560
963062486850
1022113022320
119418251a64
124351733b00
1321153a4bbc
1410daba1864
15896506930
hex52609f170

22113022320 has 240 divisors, whose sum is σ = 78907271040. Its totient is φ = 5533871616.

The previous prime is 22113022297. The next prime is 22113022333. The reversal of 22113022320 is 2322031122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×221130223202 (a number of 21 digits) contains 22 as substring.

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 = 22113022293 and 22113022302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456207 + ... + 1471313.

It is an arithmetic number, because the mean of its divisors is an integer number (328780296).

Almost surely, 222113022320 is an apocalyptic number.

22113022320 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 22113022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39453635520).

22113022320 is an abundant number, since it is smaller than the sum of its proper divisors (56794248720).

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

22113022320 is a wasteful number, since it uses less digits than its factorization.

22113022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22113022320 its reverse (2322031122), we get a palindrome (24435053442).

The spelling of 22113022320 in words is "twenty-two billion, one hundred thirteen million, twenty-two thousand, three hundred twenty".