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2260180 = 225138693
BaseRepresentation
bin1000100111110011010100
311020211101101
420213303110
51034311210
6120235444
725132306
oct10476324
94224341
102260180
11130411a
1290bb84
136119b0
1442b976
152e9a3a
hex227cd4

2260180 has 24 divisors (see below), whose sum is σ = 5112072. Its totient is φ = 834432.

The previous prime is 2260177. The next prime is 2260189. The reversal of 2260180 is 810622.

It is a happy number.

2260180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 2208196 = 228^2 + 1486^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4087 + ... + 4606.

It is an arithmetic number, because the mean of its divisors is an integer number (213003).

22260180 is an apocalyptic number.

2260180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260180 is an abundant number, since it is smaller than the sum of its proper divisors (2851892).

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

2260180 is a wasteful number, since it uses less digits than its factorization.

2260180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2260180 is about 1503.3895037548. The cubic root of 2260180 is about 131.2343957261.

The spelling of 2260180 in words is "two million, two hundred sixty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8693 17386 34772 43465 86930 113009 173860 226018 452036 565045 1130090 2260180