Search a number
-
+
122223104 = 292397107
BaseRepresentation
bin1110100100011…
…11101000000000
322111222120120122
413102033220000
5222242114404
620043355412
73012610403
oct722175000
9274876518
10122223104
1162aa0033
1234b22b68
131c424a83
1412337d3a
15aae43be
hex748fa00

122223104 has 80 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 57311232.

The previous prime is 122223089. The next prime is 122223113. The reversal of 122223104 is 401322221.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1142219 + ... + 1142325.

Almost surely, 2122223104 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 122223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

122223104 is an abundant number, since it is smaller than the sum of its proper divisors (137635264).

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

122223104 is an equidigital number, since it uses as much as digits as its factorization.

122223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 122223104 is about 11055.4558476799. The cubic root of 122223104 is about 496.2697110990.

Adding to 122223104 its reverse (401322221), we get a palindrome (523545325).

The spelling of 122223104 in words is "one hundred twenty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 107 128 184 194 214 256 368 388 428 512 736 776 856 1472 1552 1712 2231 2461 2944 3104 3424 4462 4922 5888 6208 6848 8924 9844 10379 11776 12416 13696 17848 19688 20758 24832 27392 35696 39376 41516 49664 54784 71392 78752 83032 142784 157504 166064 238717 285568 315008 332128 477434 571136 630016 664256 954868 1142272 1260032 1328512 1909736 2657024 3819472 5314048 7638944 15277888 30555776 61111552 122223104