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22434048 = 2832713107
BaseRepresentation
bin101010110010…
…1000100000000
31120012202201200
41111211010000
521220342143
62120501200
7361454250
oct125450400
946182650
1022434048
111173303a
12761a800
1348562b0
142d9d960
151e821d3
hex1565100

22434048 has 216 divisors, whose sum is σ = 80353728. Its totient is φ = 5861376.

The previous prime is 22434047. The next prime is 22434077. The reversal of 22434048 is 84043422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22434047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209611 + ... + 209717.

It is an arithmetic number, because the mean of its divisors is an integer number (372008).

Almost surely, 222434048 is an apocalyptic number.

22434048 is a gapful number since it is divisible by the number (28) 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 22434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176864).

22434048 is an abundant number, since it is smaller than the sum of its proper divisors (57919680).

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

22434048 is a wasteful number, since it uses less digits than its factorization.

22434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 22434048 is about 4736.4594371746. The cubic root of 22434048 is about 282.0347022331.

The spelling of 22434048 in words is "twenty-two million, four hundred thirty-four thousand, forty-eight".