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2212240 = 24527653
BaseRepresentation
bin1000011100000110010000
311011101121211
420130012100
51031242430
6115225504
724542452
oct10340620
94141554
102212240
1112810a8
128a8294
135c5c24
144182d2
152da72a
hex21c190

2212240 has 20 divisors (see below), whose sum is σ = 5143644. Its totient is φ = 884864.

The previous prime is 2212229. The next prime is 2212241. The reversal of 2212240 is 422122.

2212240 is digitally balanced in base 5, 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 2 ways, for example, as 274576 + 1937664 = 524^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2212240.

It is not an unprimeable number, because it can be changed into a prime (2212241) 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 3 ways as a sum of consecutive naturals, for example, 13747 + ... + 13906.

22212240 is an apocalyptic number.

2212240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212240 is an abundant number, since it is smaller than the sum of its proper divisors (2931404).

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

2212240 is a wasteful number, since it uses less digits than its factorization.

2212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27666 (or 27660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2212240 is about 1487.3600774527. The cubic root of 2212240 is about 130.2998993408.

Adding to 2212240 its reverse (422122), we get a palindrome (2634362).

The spelling of 2212240 in words is "two million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27653 55306 110612 138265 221224 276530 442448 553060 1106120 2212240