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22128540 = 22357194759
BaseRepresentation
bin101010001101…
…0011110011100
31112122020122120
41110122132130
521131103130
62110142540
7356042460
oct124323634
945566576
1022128540
1111544555
1274b1a50
13477a215
142d204a0
151e21910
hex151a79c

22128540 has 192 divisors, whose sum is σ = 77414400. Its totient is φ = 4610304.

The previous prime is 22128529. The next prime is 22128551. The reversal of 22128540 is 4582122.

It is an interprime number because it is at equal distance from previous prime (22128529) and next prime (22128551).

It is a self number, because there is not a number n which added to its sum of digits gives 22128540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375031 + ... + 375089.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 222128540 is an apocalyptic number.

22128540 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 22128540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

22128540 is an abundant number, since it is smaller than the sum of its proper divisors (55285860).

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

22128540 is a wasteful number, since it uses less digits than its factorization.

22128540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 22128540 is about 4704.0982132604. The cubic root of 22128540 is about 280.7485920614.

The spelling of 22128540 in words is "twenty-two million, one hundred twenty-eight thousand, five hundred forty".