| Base | Representation |
|---|---|
| bin | 10100100111001100… |
| … | …000100000001100000 |
| 3 | 2010010102211211211100 |
| 4 | 110213030010001200 |
| 5 | 330311332410422 |
| 6 | 14100100114400 |
| 7 | 1412313350313 |
| oct | 244714040140 |
| 9 | 63112754740 |
| 10 | 22132310112 |
| 11 | 9428126190 |
| 12 | 4358095a00 |
| 13 | 21193990b3 |
| 14 | 10dd58297a |
| 15 | 8980667ac |
| hex | 527304060 |
22132310112 has 144 divisors (see below), whose sum is σ = 68950103040. Its totient is φ = 6678470400.
The previous prime is 22132310093. The next prime is 22132310143. The reversal of 22132310112 is 21101323122.
22132310112 is a `hidden beast` number, since 221 + 323 + 10 + 112 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742537 + ... + 771767.
It is an arithmetic number, because the mean of its divisors is an integer number (478820160).
Almost surely, 222132310112 is an apocalyptic number.
22132310112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22132310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34475051520).
22132310112 is an abundant number, since it is smaller than the sum of its proper divisors (46817792928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22132310112 is a wasteful number, since it uses less digits than its factorization.
22132310112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29497 (or 29486 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 22132310112 its reverse (21101323122), we get a palindrome (43233633234).
It can be divided in two parts, 2213 and 2310112, that added together give a triangular number (2312325 = T2150).
The spelling of 22132310112 in words is "twenty-two billion, one hundred thirty-two million, three hundred ten thousand, one hundred twelve".
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