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332180 = 22517977
BaseRepresentation
bin1010001000110010100
3121212122222
41101012110
541112210
611041512
72552312
oct1210624
9555588
10332180
11207632
12140298
13b8274
14890b2
1568655
hex51194

332180 has 24 divisors (see below), whose sum is σ = 739368. Its totient is φ = 124928.

The previous prime is 332179. The next prime is 332183. The reversal of 332180 is 81233.

It can be written as a sum of positive squares in 4 ways, for example, as 148996 + 183184 = 386^2 + 428^2 .

It is a super-2 number, since 2×3321802 = 220687104800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332183) 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 7 ways as a sum of consecutive naturals, for example, 149 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (30807).

2332180 is an apocalyptic number.

It is an amenable number.

332180 is an abundant number, since it is smaller than the sum of its proper divisors (407188).

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

332180 is a wasteful number, since it uses less digits than its factorization.

332180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 332180 is about 576.3505877502. The cubic root of 332180 is about 69.2560673610.

It can be divided in two parts, 332 and 180, that added together give a 9-th power (512 = 29).

The spelling of 332180 in words is "three hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 977 1954 3908 4885 9770 16609 19540 33218 66436 83045 166090 332180