Search a number
-
+
1222044224 = 26292772377
BaseRepresentation
bin100100011010110…
…1110101001000000
310011011111021112012
41020311232221000
510000320403344
6321132352052
742166130102
oct11065565100
93134437465
101222044224
115778a2a05
122a1315628
131662421bb
14b842b572
157244229e
hex48d6ea40

1222044224 has 56 divisors (see below), whose sum is σ = 2518730040. Its totient is φ = 587575296.

The previous prime is 1222044181. The next prime is 1222044287. The reversal of 1222044224 is 4224402221.

It can be written as a sum of positive squares in 4 ways, for example, as 36481600 + 1185562624 = 6040^2 + 34432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1222044224.

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 7 ways as a sum of consecutive naturals, for example, 512924 + ... + 515300.

Almost surely, 21222044224 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 1222044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259365020).

1222044224 is an abundant number, since it is smaller than the sum of its proper divisors (1296685816).

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

1222044224 is a wasteful number, since it uses less digits than its factorization.

1222044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1222044224 is about 34957.7491266243. The cubic root of 1222044224 is about 1069.1262042598.

Adding to 1222044224 its reverse (4224402221), we get a palindrome (5446446445).

The spelling of 1222044224 in words is "one billion, two hundred twenty-two million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 277 464 554 928 1108 1856 2216 2377 4432 4754 8033 8864 9508 16066 17728 19016 32132 38032 64264 68933 76064 128528 137866 152128 257056 275732 514112 551464 658429 1102928 1316858 2205856 2633716 4411712 5267432 10534864 19094441 21069728 38188882 42139456 76377764 152755528 305511056 611022112 1222044224