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2214208 = 26291193
BaseRepresentation
bin1000011100100101000000
311011111022201
420130211000
51031323313
6115242544
724551263
oct10344500
94144281
102214208
111282627
128a9454
135c6aa9
14418cda
152db0dd
hex21c940

2214208 has 28 divisors (see below), whose sum is σ = 4549140. Its totient is φ = 1068032.

The previous prime is 2214193. The next prime is 2214209. The reversal of 2214208 is 8024122.

It can be written as a sum of positive squares in 2 ways, for example, as 1149184 + 1065024 = 1072^2 + 1032^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214209) 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, 1260 + ... + 2452.

22214208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274570).

2214208 is an abundant number, since it is smaller than the sum of its proper divisors (2334932).

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

2214208 is a wasteful number, since it uses less digits than its factorization.

2214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2214208 is about 1488.0215052209. The cubic root of 2214208 is about 130.3385259816.

The spelling of 2214208 in words is "two million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1193 1856 2386 4772 9544 19088 34597 38176 69194 76352 138388 276776 553552 1107104 2214208