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22184038240 = 2557131980191
BaseRepresentation
bin10100101010010001…
…011000111101100000
32010021001011220110221
4110222101120331200
5330413103210430
614105144532424
71413512133220
oct245221307540
963231156427
1022184038240
119454347301
124371481114
13212700ac60
1411063aa080
1589c88357a
hex52a458f60

22184038240 has 192 divisors, whose sum is σ = 67900170240. Its totient is φ = 6651279360.

The previous prime is 22184038231. The next prime is 22184038241. The reversal of 22184038240 is 4283048122.

It is a junction number, because it is equal to n+sod(n) for n = 22184038196 and 22184038205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22184038241) 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, 236545 + ... + 316735.

It is an arithmetic number, because the mean of its divisors is an integer number (353646720).

Almost surely, 222184038240 is an apocalyptic number.

22184038240 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 22184038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33950085120).

22184038240 is an abundant number, since it is smaller than the sum of its proper divisors (45716132000).

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

22184038240 is a wasteful number, since it uses less digits than its factorization.

22184038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80245 (or 80237 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 22184038240 in words is "twenty-two billion, one hundred eighty-four million, thirty-eight thousand, two hundred forty".