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22428096 = 263199587
BaseRepresentation
bin101010110001…
…1100111000000
31120012110120020
41111203213000
521220144341
62120413440
7361431015
oct125434700
946173506
1022428096
1111729619
127617280
134853682
142d9b70c
151e80566
hex15639c0

22428096 has 56 divisors (see below), whose sum is σ = 59740800. Its totient is φ = 7425792.

The previous prime is 22428061. The next prime is 22428137. The reversal of 22428096 is 69082422.

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 7 ways as a sum of consecutive naturals, for example, 37915 + ... + 38501.

It is an arithmetic number, because the mean of its divisors is an integer number (1066800).

Almost surely, 222428096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870400).

22428096 is an abundant number, since it is smaller than the sum of its proper divisors (37312704).

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

22428096 is a wasteful number, since it uses less digits than its factorization.

22428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 22428096 is about 4735.8310780686. The cubic root of 22428096 is about 282.0097577228.

The spelling of 22428096 in words is "twenty-two million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 587 597 796 1174 1194 1592 1761 2348 2388 3184 3522 4696 4776 6368 7044 9392 9552 12736 14088 18784 19104 28176 37568 38208 56352 112704 116813 233626 350439 467252 700878 934504 1401756 1869008 2803512 3738016 5607024 7476032 11214048 22428096