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23199808 = 26894073
BaseRepresentation
bin101100010000…
…0000001000000
31121122200011011
41120200001000
521414343213
62145130304
7401123632
oct130400100
947580134
1023199808
11121063a5
127929994
134a639c8
14311ca52
15208403d
hex1620040

23199808 has 28 divisors (see below), whose sum is σ = 46565820. Its totient is φ = 11466752.

The previous prime is 23199773. The next prime is 23199829. The reversal of 23199808 is 80899132.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 19784704 = 1848^2 + 4448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3660 + ... + 7732.

It is an arithmetic number, because the mean of its divisors is an integer number (1663065).

Almost surely, 223199808 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 23199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23282910).

23199808 is an abundant number, since it is smaller than the sum of its proper divisors (23366012).

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

23199808 is an equidigital number, since it uses as much as digits as its factorization.

23199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 23199808 is about 4816.6179005605. The cubic root of 23199808 is about 285.2078426439.

The spelling of 23199808 in words is "twenty-three million, one hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 4073 5696 8146 16292 32584 65168 130336 260672 362497 724994 1449988 2899976 5799952 11599904 23199808