Base | Representation |
---|---|
bin | 10100101001010010… |
… | …010001011000110000 |
3 | 2010012220001021111120 |
4 | 110221102101120300 |
5 | 330344334222034 |
6 | 14103354142240 |
7 | 1413221400660 |
oct | 245122213060 |
9 | 63186037446 |
10 | 22167492144 |
11 | 9445a75a46 |
12 | 4367a21980 |
13 | 2123766975 |
14 | 11041001a0 |
15 | 89b1b5c49 |
hex | 529491630 |
22167492144 has 160 divisors (see below), whose sum is σ = 66205095936. Its totient is φ = 6260613120.
The previous prime is 22167492119. The next prime is 22167492173. The reversal of 22167492144 is 44129476122.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 22167492096 and 22167492105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12473784 + ... + 12475560.
Almost surely, 222167492144 is an apocalyptic number.
22167492144 is a gapful number since it is divisible by the number (24) 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 22167492144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33102547968).
22167492144 is an abundant number, since it is smaller than the sum of its proper divisors (44037603792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22167492144 is a wasteful number, since it uses less digits than its factorization.
22167492144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).
The product of its digits is 193536, while the sum is 42.
The spelling of 22167492144 in words is "twenty-two billion, one hundred sixty-seven million, four hundred ninety-two thousand, one hundred forty-four".
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