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23195200 = 2652719109
BaseRepresentation
bin101100001111…
…0111001000000
31121122102211111
41120132321000
521414221300
62145053104
7401104330
oct130367100
947572744
1023195200
1112102996
127927194
134a61892
14311b0c0
1520829ba
hex161ee40

23195200 has 168 divisors, whose sum is σ = 69291200. Its totient is φ = 7464960.

The previous prime is 23195177. The next prime is 23195209. The reversal of 23195200 is 259132.

It is not an unprimeable number, because it can be changed into a prime (23195209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 212746 + ... + 212854.

Almost surely, 223195200 is an apocalyptic number.

23195200 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 23195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645600).

23195200 is an abundant number, since it is smaller than the sum of its proper divisors (46096000).

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

23195200 is a wasteful number, since it uses less digits than its factorization.

23195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 23195200 is about 4816.1395328624. The cubic root of 23195200 is about 285.1889585112.

The spelling of 23195200 in words is "twenty-three million, one hundred ninety-five thousand, two hundred".