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2212160 = 26531223
BaseRepresentation
bin1000011100000101000000
311011101111212
420130011000
51031242120
6115225252
724542306
oct10340500
94141455
102212160
111281035
128a8228
135c5b92
14418276
152da6c5
hex21c140

2212160 has 56 divisors (see below), whose sum is σ = 5462016. Its totient is φ = 852480.

The previous prime is 2212157. The next prime is 2212169. The reversal of 2212160 is 612122.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212169) 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, 9809 + ... + 10031.

It is an arithmetic number, because the mean of its divisors is an integer number (97536).

22212160 is an apocalyptic number.

2212160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731008).

2212160 is an abundant number, since it is smaller than the sum of its proper divisors (3249856).

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

2212160 is a wasteful number, since it uses less digits than its factorization.

2212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2212160 is about 1487.3331839235. Note that the first 3 decimals coincide. The cubic root of 2212160 is about 130.2983286677.

Adding to 2212160 its reverse (612122), we get a palindrome (2824282).

The spelling of 2212160 in words is "two million, two hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 223 248 310 320 446 496 620 892 992 1115 1240 1784 1984 2230 2480 3568 4460 4960 6913 7136 8920 9920 13826 14272 17840 27652 34565 35680 55304 69130 71360 110608 138260 221216 276520 442432 553040 1106080 2212160