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23116464 = 24327171971
BaseRepresentation
bin101100000101…
…1101010110000
31121111102211100
41120023222300
521404211324
62143244400
7400325640
oct130135260
947442740
1023116464
1112059818
1278a9700
134a34aa7
1430da520
1520694c9
hex160bab0

23116464 has 240 divisors, whose sum is σ = 83566080. Its totient is φ = 5806080.

The previous prime is 23116463. The next prime is 23116469. The reversal of 23116464 is 46461132.

23116464 is a `hidden beast` number, since 2 + 3 + 11 + 646 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3456) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (23116463) 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 47 ways as a sum of consecutive naturals, for example, 325549 + ... + 325619.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 223116464 is an apocalyptic number.

23116464 is a gapful number since it is divisible by the number (24) 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 23116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

23116464 is an abundant number, since it is smaller than the sum of its proper divisors (60449616).

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

23116464 is a wasteful number, since it uses less digits than its factorization.

23116464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23116464 is about 4807.9584024823. The cubic root of 23116464 is about 284.8659018263.

Adding to 23116464 its reverse (46461132), we get a palindrome (69577596).

The spelling of 23116464 in words is "twenty-three million, one hundred sixteen thousand, four hundred sixty-four".