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22442040 = 233251719193
BaseRepresentation
bin101010110011…
…1000000111000
31120020011200200
41111213000320
521221121130
62121002200
7361516455
oct125470070
946204620
1022442040
1111739045
127623360
134859b1a
142da282c
151e84760
hex1567038

22442040 has 192 divisors, whose sum is σ = 81712800. Its totient is φ = 5308416.

The previous prime is 22442029. The next prime is 22442081. The reversal of 22442040 is 4024422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 116184 + ... + 116376.

Almost surely, 222442040 is an apocalyptic number.

22442040 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 22442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40856400).

22442040 is an abundant number, since it is smaller than the sum of its proper divisors (59270760).

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

22442040 is a wasteful number, since it uses less digits than its factorization.

22442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22442040 is about 4737.3030302061. The cubic root of 22442040 is about 282.0681893347.

Adding to 22442040 its reverse (4024422), we get a palindrome (26466462).

The spelling of 22442040 in words is "twenty-two million, four hundred forty-two thousand, forty".