Base | Representation |
---|---|
bin | 1100111111100110011… |
… | …0101110010011100110 |
3 | 210100012100112021021000 |
4 | 3033321212232103212 |
5 | 12124134114310042 |
6 | 250314555134130 |
7 | 22061605164126 |
oct | 3177146562346 |
9 | 710170467230 |
10 | 223231010022 |
11 | 867430a3939 |
12 | 3731b744346 |
13 | 18087202257 |
14 | ab39544c86 |
15 | 5c17bb674c |
hex | 33f99ae4e6 |
223231010022 has 32 divisors (see below), whose sum is σ = 496084347360. Its totient is φ = 74408021280.
The previous prime is 223231009999. The next prime is 223231010027. The reversal of 223231010022 is 220010132322.
223231010022 is a `hidden beast` number, since 2 + 232 + 310 + 100 + 22 = 666.
It is a super-3 number, since 3×2232310100223 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223231009977 and 223231010004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223231010027) 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 15 ways as a sum of consecutive naturals, for example, 3350272 + ... + 3416252.
It is an arithmetic number, because the mean of its divisors is an integer number (15502635855).
Almost surely, 2223231010022 is an apocalyptic number.
223231010022 is an abundant number, since it is smaller than the sum of its proper divisors (272853337338).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223231010022 is a wasteful number, since it uses less digits than its factorization.
223231010022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128645 (or 128639 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 223231010022 its reverse (220010132322), we get a palindrome (443241142344).
The spelling of 223231010022 in words is "two hundred twenty-three billion, two hundred thirty-one million, ten thousand, twenty-two".
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