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23380209 = 324163361
BaseRepresentation
bin101100100110…
…0000011110001
31121222211121200
41121030003301
521441131314
62153041413
7402504606
oct131140361
947884550
1023380209
1112219996
1279b6269
134ac7b58
1431686ad
1520bc709
hex164c0f1

23380209 has 12 divisors (see below), whose sum is σ = 34595652. Its totient is φ = 15206400.

The previous prime is 23380193. The next prime is 23380237. The reversal of 23380209 is 90208332.

It can be written as a sum of positive squares in 2 ways, for example, as 5130225 + 18249984 = 2265^2 + 4272^2 .

It is not a de Polignac number, because 23380209 - 24 = 23380193 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23380309) 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 11 ways as a sum of consecutive naturals, for example, 31312 + ... + 32049.

It is an arithmetic number, because the mean of its divisors is an integer number (2882971).

Almost surely, 223380209 is an apocalyptic number.

It is an amenable number.

23380209 is a deficient number, since it is larger than the sum of its proper divisors (11215443).

23380209 is a wasteful number, since it uses less digits than its factorization.

23380209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63408 (or 63405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23380209 is about 4835.3085734005. The cubic root of 23380209 is about 285.9451905662.

The spelling of 23380209 in words is "twenty-three million, three hundred eighty thousand, two hundred nine".

Divisors: 1 3 9 41 123 369 63361 190083 570249 2597801 7793403 23380209