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2214261 = 32725021
BaseRepresentation
bin1000011100100101110101
311011111101200
420130211311
51031324021
6115243113
724551400
oct10344565
94144350
102214261
111282675
128a9499
135c6b1a
14418d37
152db126
hex21c975

2214261 has 18 divisors (see below), whose sum is σ = 3721302. Its totient is φ = 1265040.

The previous prime is 2214257. The next prime is 2214269. The reversal of 2214261 is 1624122.

2214261 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 only one way, i.e., 2160900 + 53361 = 1470^2 + 231^2 .

It is not a de Polignac number, because 2214261 - 22 = 2214257 is a prime.

It is a super-2 number, since 2×22142612 = 9805903552242, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

2214261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214269) 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 17 ways as a sum of consecutive naturals, for example, 2070 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

22214261 is an apocalyptic number.

2214261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2214261 is a deficient number, since it is larger than the sum of its proper divisors (1507041).

2214261 is a wasteful number, since it uses less digits than its factorization.

2214261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5031 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2214261 is about 1488.0393139968. The cubic root of 2214261 is about 130.3395659150.

Adding to 2214261 its reverse (1624122), we get a palindrome (3838383).

The spelling of 2214261 in words is "two million, two hundred fourteen thousand, two hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 5021 15063 35147 45189 105441 246029 316323 738087 2214261