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2212180 = 225110609
BaseRepresentation
bin1000011100000101010100
311011101112121
420130011110
51031242210
6115225324
724542335
oct10340524
94141477
102212180
111281053
128a8244
135c5ba9
1441828c
152da6da
hex21c154

2212180 has 12 divisors (see below), whose sum is σ = 4645620. Its totient is φ = 884864.

The previous prime is 2212169. The next prime is 2212181. The reversal of 2212180 is 812122.

It can be written as a sum of positive squares in 2 ways, for example, as 1444804 + 767376 = 1202^2 + 876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55285 + ... + 55324.

It is an arithmetic number, because the mean of its divisors is an integer number (387135).

22212180 is an apocalyptic number.

2212180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212180 is an abundant number, since it is smaller than the sum of its proper divisors (2433440).

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

2212180 is a wasteful number, since it uses less digits than its factorization.

2212180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110618 (or 110616 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2212180 is about 1487.3399073514. The cubic root of 2212180 is about 130.2987213395.

It can be divided in two parts, 22121 and 80, that added together give a square (22201 = 1492).

The spelling of 2212180 in words is "two million, two hundred twelve thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 110609 221218 442436 553045 1106090 2212180