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23317128 = 2332615309
BaseRepresentation
bin101100011110…
…0101010001000
31121212122002100
41120330222020
521432122003
62151433400
7402122652
oct130745210
947778070
1023317128
111218655a
127985860
134aa5223
14314d6d2
1520a8ba3
hex163ca88

23317128 has 48 divisors (see below), whose sum is σ = 64197900. Its totient is φ = 7643520.

The previous prime is 23317127. The next prime is 23317153. The reversal of 23317128 is 82171332.

It can be written as a sum of positive squares in 2 ways, for example, as 14424804 + 8892324 = 3798^2 + 2982^2 .

It is not an unprimeable number, because it can be changed into a prime (23317121) 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, 1738 + ... + 7046.

Almost surely, 223317128 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 23317128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32098950).

23317128 is an abundant number, since it is smaller than the sum of its proper divisors (40880772).

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

23317128 is a wasteful number, since it uses less digits than its factorization.

23317128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5375 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 23317128 is about 4828.7812126871. The cubic root of 23317128 is about 285.6877940199.

It can be divided in two parts, 2331712 and 8, that added together give a triangular number (2331720 = T2159).

The spelling of 23317128 in words is "twenty-three million, three hundred seventeen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 5309 10618 15927 21236 31854 42472 47781 63708 95562 127416 191124 323849 382248 647698 971547 1295396 1943094 2590792 2914641 3886188 5829282 7772376 11658564 23317128