Search a number
-
+
223321331423100 = 22352883184294467
BaseRepresentation
bin110010110001110000001100…
…101000010101011101111100
31002021201022101120010102210210
4302301300030220111131330
5213232344041321014400
62110544223042432420
765016301530540111
oct6261601450253574
91067638346112723
10223321331423100
1165180054682249
1221069206062710
13977c15a396951
143d20b4ad42908
151ac41788de950
hexcb1c0ca1577c

223321331423100 has 72 divisors (see below), whose sum is σ = 646216227514368. Its totient is φ = 59545610782400.

The previous prime is 223321331423093. The next prime is 223321331423101. The reversal of 223321331423100 is 1324133123322.

It is a super-2 number, since 2×2233213314231002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223321331423101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39497934 + ... + 44796533.

It is an arithmetic number, because the mean of its divisors is an integer number (8975225382144).

Almost surely, 2223321331423100 is an apocalyptic number.

223321331423100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223321331423100 is an abundant number, since it is smaller than the sum of its proper divisors (422894896091268).

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

223321331423100 is a wasteful number, since it uses less digits than its factorization.

223321331423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84303315 (or 84303308 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 223321331423100 its reverse (1324133123322), we get a palindrome (224645464546422).

The spelling of 223321331423100 in words is "two hundred twenty-three trillion, three hundred twenty-one billion, three hundred thirty-one million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8831 17662 26493 35324 44155 52986 88310 105972 132465 176620 220775 264930 441550 529860 662325 883100 1324650 2649300 84294467 168588934 252883401 337177868 421472335 505766802 842944670 1011533604 1264417005 1685889340 2107361675 2528834010 4214723350 5057668020 6322085025 8429446700 12644170050 25288340100 744404438077 1488808876154 2233213314231 2977617752308 3722022190385 4466426628462 7444044380770 8932853256924 11166066571155 14888088761540 18610110951925 22332133142310 37220221903850 44664266284620 55830332855775 74440443807700 111660665711550 223321331423100