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23252313 = 37359383
BaseRepresentation
bin101100010110…
…0110101011001
31121202100011210
41120230311121
521423033223
62150213333
7401433000
oct130546531
947670153
1023252313
1112141897
127954249
134a81886
143133c37
152094893
hex162cd59

23252313 has 32 divisors (see below), whose sum is σ = 36864000. Its totient is φ = 13027728.

The previous prime is 23252309. The next prime is 23252329. The reversal of 23252313 is 31325232.

It is not a de Polignac number, because 23252313 - 22 = 23252309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 23252313.

It is not an unprimeable number, because it can be changed into a prime (23252393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60520 + ... + 60902.

It is an arithmetic number, because the mean of its divisors is an integer number (1152000).

Almost surely, 223252313 is an apocalyptic number.

It is an amenable number.

23252313 is a deficient number, since it is larger than the sum of its proper divisors (13611687).

23252313 is an equidigital number, since it uses as much as digits as its factorization.

23252313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 23252313 is about 4822.0652214585. The cubic root of 23252313 is about 285.4228380311.

Adding to 23252313 its reverse (31325232), we get a palindrome (54577545).

The spelling of 23252313 in words is "twenty-three million, two hundred fifty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 59 147 177 343 383 413 1029 1149 1239 2681 2891 8043 8673 18767 20237 22597 56301 60711 67791 131369 158179 394107 474537 1107253 3321759 7750771 23252313