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23256 = 23321719
BaseRepresentation
bin101101011011000
31011220100
411223120
51221011
6255400
7124542
oct55330
934810
1023256
1116522
1211560
13a77c
148692
156d56

23256 has 48 divisors (see below), whose sum is σ = 70200. Its totient is φ = 6912.

The previous prime is 23251. The next prime is 23269. The reversal of 23256 is 65232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1215 + ... + 1233.

223256 is an apocalyptic number.

It is a pronic number, being equal to 152×153.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35100).

23256 is an abundant number, since it is smaller than the sum of its proper divisors (46944).

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

23256 is a wasteful number, since it uses less digits than its factorization.

23256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 41 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 23256 is about 152.4991803257. The cubic root of 23256 is about 28.5437923246.

Adding to 23256 its reverse (65232), we get a palindrome (88488).

The spelling of 23256 in words is "twenty-three thousand, two hundred fifty-six".