Search a number
-
+
182248 = 231119109
BaseRepresentation
bin101100011111101000
3100020222221
4230133220
521312443
63523424
71356223
oct543750
9306887
10182248
11114a20
1289574
1364c51
144a5ba
1538eed
hex2c7e8

182248 has 32 divisors (see below), whose sum is σ = 396000. Its totient is φ = 77760.

The previous prime is 182243. The next prime is 182261. The reversal of 182248 is 842281.

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

It is not an unprimeable number, because it can be changed into a prime (182243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1618 + ... + 1726.

It is an arithmetic number, because the mean of its divisors is an integer number (12375).

2182248 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 182248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198000).

182248 is an abundant number, since it is smaller than the sum of its proper divisors (213752).

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

182248 is a wasteful number, since it uses less digits than its factorization.

182248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 182248 is about 426.9051416884. The cubic root of 182248 is about 56.6962398501.

The spelling of 182248 in words is "one hundred eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 109 152 209 218 418 436 836 872 1199 1672 2071 2398 4142 4796 8284 9592 16568 22781 45562 91124 182248