Search a number
-
+
88230 = 23517173
BaseRepresentation
bin10101100010100110
311111000210
4111202212
510310410
61520250
7515142
oct254246
9144023
1088230
116031a
1243086
133120c
1424222
151b220
hex158a6

88230 has 32 divisors (see below), whose sum is σ = 225504. Its totient is φ = 22016.

The previous prime is 88223. The next prime is 88237. The reversal of 88230 is 3288.

It is an interprime number because it is at equal distance from previous prime (88223) and next prime (88237).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 88197 and 88206.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88230.

It is not an unprimeable number, because it can be changed into a prime (88237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (7047).

288230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112752).

88230 is an abundant number, since it is smaller than the sum of its proper divisors (137274).

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

88230 is a wasteful number, since it uses less digits than its factorization.

88230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 88230 is about 297.0353514314. The cubic root of 88230 is about 44.5183192681.

Subtracting from 88230 its sum of digits (21), we obtain a square (88209 = 2972).

The spelling of 88230 in words is "eighty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 173 255 346 510 519 865 1038 1730 2595 2941 5190 5882 8823 14705 17646 29410 44115 88230