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23153813 = 172113709
BaseRepresentation
bin101100001010…
…0110010010101
31121120100001122
41120110302111
521411410223
62144133325
7400542554
oct130246225
947510048
1023153813
1112084891
127907245
134a48aa7
143109d9b
1520755c8
hex1614c95

23153813 has 12 divisors (see below), whose sum is σ = 24848580. Its totient is φ = 21568512.

The previous prime is 23153797. The next prime is 23153827. The reversal of 23153813 is 31835132.

It can be written as a sum of positive squares in 6 ways, for example, as 1270129 + 21883684 = 1127^2 + 4678^2 .

It is not a de Polignac number, because 23153813 - 24 = 23153797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23153833) 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, 32303 + ... + 33011.

It is an arithmetic number, because the mean of its divisors is an integer number (2070715).

Almost surely, 223153813 is an apocalyptic number.

It is an amenable number.

23153813 is a deficient number, since it is larger than the sum of its proper divisors (1694767).

23153813 is a wasteful number, since it uses less digits than its factorization.

23153813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 839 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 23153813 is about 4811.8409159073. The cubic root of 23153813 is about 285.0192374416.

Adding to 23153813 its reverse (31835132), we get a palindrome (54988945).

The spelling of 23153813 in words is "twenty-three million, one hundred fifty-three thousand, eight hundred thirteen".

Divisors: 1 17 113 289 709 1921 12053 32657 80117 204901 1361989 23153813