Search a number
-
+
110022222000 = 2435318337037
BaseRepresentation
bin110011001110111010…
…1011110000010110000
3101111222122012222020010
41212131311132002300
53300311142101000
6122313222014520
710643311312425
oct1463565360260
9344878188203
10110022222000
11427297488a9
12193a6277440
13a4b4caa812
14547a129d4c
152cde036d50
hex199dd5e0b0

110022222000 has 80 divisors (see below), whose sum is σ = 354711663072. Its totient is φ = 29339257600.

The previous prime is 110022221999. The next prime is 110022222007. The reversal of 110022222000 is 222220011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110022222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9162519 + ... + 9174518.

Almost surely, 2110022222000 is an apocalyptic number.

110022222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022222000 is an abundant number, since it is smaller than the sum of its proper divisors (244689441072).

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

110022222000 is a wasteful number, since it uses less digits than its factorization.

110022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18337063 (or 18337047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 110022222000 its reverse (222220011), we get a palindrome (110244442011).

It can be divided in two parts, 1 and 10022222000, that added together give a palindrome (10022222001).

The spelling of 110022222000 in words is "one hundred ten billion, twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 18337037 36674074 55011111 73348148 91685185 110022222 146696296 183370370 220044444 275055555 293392592 366740740 440088888 458425925 550111110 733481480 880177776 916851850 1100222220 1375277775 1466962960 1833703700 2200444440 2292129625 2750555550 3667407400 4400888880 4584259250 5501111100 6876388875 7334814800 9168518500 11002222200 13752777750 18337037000 22004444400 27505555500 36674074000 55011111000 110022222000