Search a number
-
+
223213312322 = 271113990111261
BaseRepresentation
bin1100111111100010001…
…1001101100101000010
3210100011010020010120122
43033320203031211002
512124120101443242
6250313123540242
722061301564260
oct3177043154502
9710133203518
10223213312322
1186734106340
123731582a682
1318083646a40
14ab37059430
155c1636cad2
hex33f88cd942

223213312322 has 64 divisors (see below), whose sum is σ = 449633818368. Its totient is φ = 80261280000.

The previous prime is 223213312321. The next prime is 223213312339.

223213312322 is nontrivially palindromic in base 10.

223213312322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232133123223 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 223213312291 and 223213312300.

It is not an unprimeable number, because it can be changed into a prime (223213312321) 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 31 ways as a sum of consecutive naturals, for example, 19816172 + ... + 19827432.

It is an arithmetic number, because the mean of its divisors is an integer number (7025528412).

Almost surely, 2223213312322 is an apocalyptic number.

223213312322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

223213312322 is an abundant number, since it is smaller than the sum of its proper divisors (226420506046).

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

223213312322 is a wasteful number, since it uses less digits than its factorization.

223213312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21195.

The product of its digits is 5184, while the sum is 26.

It can be divided in two parts, 223213 and 312322, that added together give a palindrome (535535).

The spelling of 223213312322 in words is "two hundred twenty-three billion, two hundred thirteen million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 9901 11261 19802 22522 69307 78827 108911 123871 128713 138614 146393 157654 217822 247742 257426 292786 762377 867097 900991 1024751 1415843 1524754 1610323 1734194 1801982 2049502 2831686 3220646 9910901 11272261 19821802 22544522 111495161 222990322 780466127 1226446771 1449437093 1560932254 2452893542 2898874186 8585127397 10146059651 15943808023 17170254794 20292119302 31887616046 111606656161 223213312322