Search a number
-
+
11224622112 = 253112966307
BaseRepresentation
bin10100111010000101…
…00010010000100000
31001222021002212211220
422131002202100200
5140442000401422
65053450335040
7545104466544
oct123502422040
931867085756
1011224622112
114840008800
12221312a480
13109b622b42
14786a61a24
1545a65de5c
hex29d0a2420

11224622112 has 72 divisors (see below), whose sum is σ = 32386778928. Its totient is φ = 3401397120.

The previous prime is 11224622083. The next prime is 11224622159. The reversal of 11224622112 is 21122642211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 471538 + ... + 494769.

It is an arithmetic number, because the mean of its divisors is an integer number (449816374).

Almost surely, 211224622112 is an apocalyptic number.

11224622112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11224622112 is an abundant number, since it is smaller than the sum of its proper divisors (21162156816).

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

11224622112 is a wasteful number, since it uses less digits than its factorization.

11224622112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966342 (or 966323 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

It can be divided in two parts, 11224 and 622112, that added together give a palindrome (633336).

The spelling of 11224622112 in words is "eleven billion, two hundred twenty-four million, six hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 966307 1932614 2898921 3865228 5797842 7730456 10629377 11595684 15460912 21258754 23191368 30921824 31888131 42517508 46382736 63776262 85035016 92765472 116923147 127552524 170070032 233846294 255105048 340140064 350769441 467692588 510210096 701538882 935385176 1020420192 1403077764 1870770352 2806155528 3741540704 5612311056 11224622112