Search a number
-
+
23148544 = 21189127
BaseRepresentation
bin101100001001…
…1100000000000
31121120001211111
41120103200000
521411223134
62144053104
7400521316
oct130234000
947501744
1023148544
1112080931
127904194
134a46583
1431080b6
152073c64
hex1613800

23148544 has 48 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 11354112.

The previous prime is 23148539. The next prime is 23148547. The reversal of 23148544 is 44584132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23148547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182209 + ... + 182335.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 223148544 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 23148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

23148544 is an abundant number, since it is smaller than the sum of its proper divisors (24025856).

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

23148544 is an equidigital number, since it uses as much as digits as its factorization.

23148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 23148544 is about 4811.2933812022. The cubic root of 23148544 is about 284.9976156567.

The spelling of 23148544 in words is "twenty-three million, one hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 127 128 178 254 256 356 508 512 712 1016 1024 1424 2032 2048 2848 4064 5696 8128 11303 11392 16256 22606 22784 32512 45212 45568 65024 90424 91136 130048 180848 182272 260096 361696 723392 1446784 2893568 5787136 11574272 23148544