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22830848 = 28101883
BaseRepresentation
bin101011100010…
…1111100000000
31120221221000222
41113011330000
521321041343
62133202212
7365026145
oct127057400
946857028
1022830848
1111984177
127790368
134964aa1
1430643cc
15200ea68
hex15c5f00

22830848 has 36 divisors (see below), whose sum is σ = 46075848. Its totient is φ = 11289600.

The previous prime is 22830827. The next prime is 22830901. The reversal of 22830848 is 84803822.

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 3 ways as a sum of consecutive naturals, for example, 25415 + ... + 26297.

Almost surely, 222830848 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 22830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23037924).

22830848 is an abundant number, since it is smaller than the sum of its proper divisors (23245000).

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

22830848 is an equidigital number, since it uses as much as digits as its factorization.

22830848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 22830848 is about 4778.1636640031. The cubic root of 22830848 is about 283.6878140682.

The spelling of 22830848 in words is "twenty-two million, eight hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 883 1616 1766 3232 3532 6464 7064 12928 14128 25856 28256 56512 89183 113024 178366 226048 356732 713464 1426928 2853856 5707712 11415424 22830848