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1222208 = 26132113
BaseRepresentation
bin100101010011001000000
32022002112222
410222121000
5303102313
642110212
713250201
oct4523100
92262488
101222208
11765299
124ab368
1333a400
1423b5a8
15192208
hex12a640

1222208 has 42 divisors (see below), whose sum is σ = 2649474. Its totient is φ = 559104.

The previous prime is 1222187. The next prime is 1222219. The reversal of 1222208 is 8022221.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 1098304 = 352^2 + 1048^2 .

It is an unprimeable number.

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, 10760 + ... + 10872.

21222208 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 1222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324737).

1222208 is an abundant number, since it is smaller than the sum of its proper divisors (1427266).

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

1222208 is a wasteful number, since it uses less digits than its factorization.

1222208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1222208 is about 1105.5351645244. The cubic root of 1222208 is about 106.9173962867.

Adding to 1222208 its reverse (8022221), we get a palindrome (9244429).

The spelling of 1222208 in words is "one million, two hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 169 208 226 338 416 452 676 832 904 1352 1469 1808 2704 2938 3616 5408 5876 7232 10816 11752 19097 23504 38194 47008 76388 94016 152776 305552 611104 1222208