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2212101 = 32245789
BaseRepresentation
bin1000011100000100000101
311011101102200
420130010011
51031241401
6115225113
724542163
oct10340405
94141380
102212101
111280a91
128a8199
135c5b48
14418233
152da686
hex21c105

2212101 has 6 divisors (see below), whose sum is σ = 3195270. Its totient is φ = 1474728.

The previous prime is 2212099. The next prime is 2212123. The reversal of 2212101 is 1012122.

It can be written as a sum of positive squares in only one way, i.e., 2030625 + 181476 = 1425^2 + 426^2 .

It is not a de Polignac number, because 2212101 - 21 = 2212099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 245789 = 2212101 / (2 + 2 + 1 + 2 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212141) 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 5 ways as a sum of consecutive naturals, for example, 122886 + ... + 122903.

It is an arithmetic number, because the mean of its divisors is an integer number (532545).

22212101 is an apocalyptic number.

It is an amenable number.

2212101 is a deficient number, since it is larger than the sum of its proper divisors (983169).

2212101 is a wasteful number, since it uses less digits than its factorization.

2212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245795 (or 245792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2212101 is about 1487.3133496342. The cubic root of 2212101 is about 130.2971702720.

Adding to 2212101 its reverse (1012122), we get a palindrome (3224223).

The spelling of 2212101 in words is "two million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 245789 737367 2212101