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22140320 = 255197283
BaseRepresentation
bin101010001110…
…1010110100000
31112122211210212
41110131112200
521131442240
62110313252
7356122016
oct124352640
945584725
1022140320
1111552394
1274b8828
1347826a7
142d248b6
151e25165
hex151d5a0

22140320 has 48 divisors (see below), whose sum is σ = 55067040. Its totient is φ = 8388864.

The previous prime is 22140299. The next prime is 22140323. The reversal of 22140320 is 2304122.

It is a junction number, because it is equal to n+sod(n) for n = 22140295 and 22140304.

It is not an unprimeable number, because it can be changed into a prime (22140323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602 + ... + 6681.

It is an arithmetic number, because the mean of its divisors is an integer number (1147230).

Almost surely, 222140320 is an apocalyptic number.

22140320 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 22140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27533520).

22140320 is an abundant number, since it is smaller than the sum of its proper divisors (32926720).

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

22140320 is a wasteful number, since it uses less digits than its factorization.

22140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 22140320 is about 4705.3501463759. The cubic root of 22140320 is about 280.7984015190.

Adding to 22140320 its reverse (2304122), we get a palindrome (24444442).

The spelling of 22140320 in words is "twenty-two million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 7283 14566 29132 36415 58264 72830 116528 138377 145660 233056 276754 291320 553508 582640 691885 1107016 1165280 1383770 2214032 2767540 4428064 5535080 11070160 22140320