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23250 = 235331
BaseRepresentation
bin101101011010010
31011220010
411223102
51221000
6255350
7124533
oct55322
934803
1023250
1116517
1211556
13a776
14868a
156d50
hex5ad2

23250 has 32 divisors (see below), whose sum is σ = 59904. Its totient is φ = 6000.

The previous prime is 23227. The next prime is 23251. The reversal of 23250 is 5232.

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

It is a plaindrome in base 12.

It is a nialpdrome in base 8 and base 13.

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

23250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (1872).

223250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952).

23250 is an abundant number, since it is smaller than the sum of its proper divisors (36654).

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

23250 is a wasteful number, since it uses less digits than its factorization.

23250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 23250 is about 152.4795068198. The cubic root of 23250 is about 28.5413373669.

Adding to 23250 its reverse (5232), we get a palindrome (28482).

It can be divided in two parts, 232 and 50, that added together give a palindrome (282).

The spelling of 23250 in words is "twenty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 750 775 930 1550 2325 3875 4650 7750 11625 23250