Search a number
-
+
1222292016 = 2432111973917
BaseRepresentation
bin100100011011010…
…1011001000110000
310011011221212102200
41020312223020300
510000401321031
6321141543200
742201211401
oct11066531060
93134855380
101222292016
11577a520a0
122a1414b00
131662cac1a
14b84939a8
15724908e6
hex48dab230

1222292016 has 120 divisors (see below), whose sum is σ = 3751594704. Its totient is φ = 368417280.

The previous prime is 1222291997. The next prime is 1222292033. The reversal of 1222292016 is 6102922221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310090 + ... + 314006.

Almost surely, 21222292016 is an apocalyptic number.

1222292016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222292016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875797352).

1222292016 is an abundant number, since it is smaller than the sum of its proper divisors (2529302688).

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

1222292016 is a wasteful number, since it uses less digits than its factorization.

1222292016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1222292016 is about 34961.2931110964. The cubic root of 1222292016 is about 1069.1984610602.

The spelling of 1222292016 in words is "one billion, two hundred twenty-two million, two hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 197 198 264 394 396 528 591 788 792 1182 1576 1584 1773 2167 2364 3152 3546 3917 4334 4728 6501 7092 7834 8668 9456 11751 13002 14184 15668 17336 19503 23502 26004 28368 31336 34672 35253 39006 43087 47004 52008 62672 70506 78012 86174 94008 104016 129261 141012 156024 172348 188016 258522 282024 312048 344696 387783 517044 564048 689392 771649 775566 1034088 1543298 1551132 2068176 2314947 3086596 3102264 4629894 6173192 6204528 6944841 8488139 9259788 12346384 13889682 16976278 18519576 25464417 27779364 33952556 37039152 50928834 55558728 67905112 76393251 101857668 111117456 135810224 152786502 203715336 305573004 407430672 611146008 1222292016