Search a number
-
+
224755438285456 = 24138489931272749
BaseRepresentation
bin110011000110100111110100…
…000011110111001010010000
31002110210102001221012100200221
4303012213310003313022100
5213424343114200113311
62114003120053522424
765225021165665501
oct6306476403671220
91073712057170627
10224755438285456
1165683278605a91
122125b139643414
139854468161480
143d703151a6ba8
151aeb610eab671
hexcc69f40f7290

224755438285456 has 40 divisors (see below), whose sum is σ = 468961787259000. Its totient is φ = 103733075521536.

The previous prime is 224755438285387. The next prime is 224755438285489. The reversal of 224755438285456 is 654582834557422.

It can be written as a sum of positive squares in 4 ways, for example, as 45864505600 + 224709573779856 = 214160^2 + 14990316^2 .

It is a super-2 number, since 2×2247554382854562 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175954170 + ... + 177226918.

It is an arithmetic number, because the mean of its divisors is an integer number (11724044681475).

Almost surely, 2224755438285456 is an apocalyptic number.

224755438285456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

224755438285456 is an abundant number, since it is smaller than the sum of its proper divisors (244206348973544).

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

224755438285456 is a wasteful number, since it uses less digits than its factorization.

224755438285456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121763 (or 2121757 counting only the distinct ones).

The product of its digits is 2580480000, while the sum is 70.

The spelling of 224755438285456 in words is "two hundred twenty-four trillion, seven hundred fifty-five billion, four hundred thirty-eight million, two hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 848993 1272749 1697986 2545498 3395972 5090996 6791944 10181992 11036909 13583888 16545737 20363984 22073818 33091474 44147636 66182948 88295272 132365896 176590544 264731792 1080554991757 2161109983514 4322219967028 8644439934056 14047214892841 17288879868112 28094429785682 56188859571364 112377719142728 224755438285456